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2122213301232 = 2432927115713581
BaseRepresentation
bin11110111000011101110…
…001010001101111110000
321111212210200201210222020
4132320131301101233300
5234232243101114412
64302533100111440
7306216265265523
oct36703561215760
97455720653866
102122213301232
1174903109a982
122a3370b35580
1312517c15942b
1474a03b36bba
153a30c42b18c
hex1ee1dc51bf0

2122213301232 has 160 divisors (see below), whose sum is σ = 5697573903360. Its totient is φ = 679867776000.

The previous prime is 2122213301227. The next prime is 2122213301239. The reversal of 2122213301232 is 2321033122212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122213301239) 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, 592629682 + ... + 592633262.

It is an arithmetic number, because the mean of its divisors is an integer number (35609836896).

Almost surely, 22122213301232 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 2122213301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848786951680).

2122213301232 is an abundant number, since it is smaller than the sum of its proper divisors (3575360602128).

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

2122213301232 is a wasteful number, since it uses less digits than its factorization.

2122213301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2122213301232 its reverse (2321033122212), we get a palindrome (4443246423444).

The spelling of 2122213301232 in words is "two trillion, one hundred twenty-two billion, two hundred thirteen million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 271 348 464 542 696 813 1084 1392 1571 1626 2168 3142 3252 3581 4336 4713 6284 6504 7162 7859 9426 10743 12568 13008 14324 15718 18852 21486 23577 25136 28648 31436 37704 42972 45559 47154 57296 62872 75408 85944 91118 94308 103849 125744 136677 171888 182236 188616 207698 273354 311547 364472 377232 415396 425741 546708 623094 728944 830792 851482 970451 1093416 1246188 1277223 1661584 1702964 1940902 2186832 2492376 2554446 2911353 3405928 3881804 4984752 5108892 5625751 5822706 6811856 7763608 10217784 11251502 11645412 12346489 15527216 16877253 20435568 22503004 23290824 24692978 28143079 33754506 37039467 45006008 46581648 49385956 56286158 67509012 74078934 84429237 90012016 98771912 112572316 135018024 148157868 163146779 168858474 197543824 225144632 270036048 296315736 326293558 337716948 450289264 489440337 592631472 652587116 675433896 978880674 1305174232 1350867792 1524578521 1957761348 2610348464 3049157042 3915522696 4573735563 6098314084 7831045392 9147471126 12196628168 18294942252 24393256336 36589884504 44212777109 73179769008 88425554218 132638331327 176851108436 265276662654 353702216872 530553325308 707404433744 1061106650616 2122213301232