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232223021001552 = 243723235112781609
BaseRepresentation
bin110100110011010010100010…
…101011001110101101010000
31010110020022012121112101211010
4310303102202223032231100
5220414220221334022202
62141521441051450520
766625362641525520
oct6463224253165520
91113208177471733
10232223021001552
1167aa225934a5a9
1222066463a56a40
139c766c97b4a69
14414b923139680
151bca9c137776c
hexd334a2aceb50

232223021001552 has 160 divisors (see below), whose sum is σ = 715724350709760. Its totient is φ = 63437676825600.

The previous prime is 232223021001551. The next prime is 232223021001553. The reversal of 232223021001552 is 255100120322232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (232223021001551) and next prime (232223021001553).

It is a super-2 number, since 2×2322230210015522 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232223021001551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11777724 + ... + 24559332.

It is an arithmetic number, because the mean of its divisors is an integer number (4473277191936).

Almost surely, 2232223021001552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232223021001552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357862175354880).

232223021001552 is an abundant number, since it is smaller than the sum of its proper divisors (483501329708208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232223021001552 is a wasteful number, since it uses less digits than its factorization.

232223021001552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12784001 (or 12783995 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 232223021001552 its reverse (255100120322232), we get a palindrome (487323141323784).

The spelling of 232223021001552 in words is "two hundred thirty-two trillion, two hundred twenty-three billion, twenty-one million, one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2351 2576 3864 4702 7053 7728 9404 14106 16457 18808 28212 32914 37616 49371 54073 56424 65828 98742 108146 112848 131656 162219 197484 216292 263312 324438 378511 394968 432584 648876 757022 789936 865168 1135533 1297752 1514044 2271066 2595504 3028088 4542132 6056176 9084264 12781609 18168528 25563218 38344827 51126436 76689654 89471263 102252872 153379308 178942526 204505744 268413789 293977007 306758616 357885052 536827578 587954014 613517232 715770104 881931021 1073655156 1175908028 1431540208 1763862042 2057839049 2147310312 2351816056 3527724084 4115678098 4294620624 4703632112 6173517147 7055448168 8231356196 12347034294 14110896336 16462712392 24694068588 30049562759 32925424784 49388137176 60099125518 90148688277 98776274352 120198251036 180297376554 210346939313 240396502072 360594753108 420693878626 480793004144 631040817939 691139943457 721189506216 841387757252 1262081635878 1382279886914 1442379012432 1682775514504 2073419830371 2524163271756 2764559773828 3365551029008 4146839660742 4837979604199 5048326543512 5529119547656 8293679321484 9675959208398 10096653087024 11058239095312 14513938812597 16587358642968 19351918416796 29027877625194 33174717285936 38703836833592 58055755250388 77407673667184 116111510500776 232223021001552