Search a number
-
+
230233122322000 = 24537139118310957
BaseRepresentation
bin110100010110010101010011…
…011110001011011001010000
31010012012001221011002210111121
4310112111103132023121100
5220134114413303301000
62133355345233052024
766331536254034340
oct6426252336133120
91105161834083447
10230233122322000
11673a5356427336
12219a487a9b7014
139b60b75c246a5
1440bd4b2064d20
151b93d5a0bdb1a
hexd1655378b650

230233122322000 has 160 divisors (see below), whose sum is σ = 640810008034560. Its totient is φ = 78369177254400.

The previous prime is 230233122321989. The next prime is 230233122322039. The reversal of 230233122322000 is 223221332032.

It is a super-2 number, since 2×2302331223220002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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, 57209479 + ... + 61101478.

It is an arithmetic number, because the mean of its divisors is an integer number (4005062550216).

Almost surely, 2230233122322000 is an apocalyptic number.

230233122322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230233122322000 is an abundant number, since it is smaller than the sum of its proper divisors (410576885712560).

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

230233122322000 is a wasteful number, since it uses less digits than its factorization.

230233122322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118311126 (or 118311110 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 230233122322000 its reverse (223221332032), we get a palindrome (230456343654032).

The spelling of 230233122322000 in words is "two hundred thirty trillion, two hundred thirty-three billion, one hundred twenty-two million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 139 140 175 200 250 278 280 350 400 500 556 560 695 700 875 973 1000 1112 1390 1400 1750 1946 2000 2224 2780 2800 3475 3500 3892 4865 5560 6950 7000 7784 9730 11120 13900 14000 15568 17375 19460 24325 27800 34750 38920 48650 55600 69500 77840 97300 121625 139000 194600 243250 278000 389200 486500 973000 1946000 118310957 236621914 473243828 591554785 828176699 946487656 1183109570 1656353398 1892975312 2366219140 2957773925 3312706796 4140883495 4732438280 5915547850 6625413592 8281766990 9464876560 11831095700 13250827184 14788869625 16445223023 16563533980 20704417475 23662191400 29577739250 32890446046 33127067960 41408834950 47324382800 59155478500 65780892092 66254135920 82226115115 82817669900 103522087375 115116561161 118310957000 131561784184 164452230230 165635339800 207044174750 230233122322 236621914000 263123568368 328904460460 331270679600 411130575575 414088349500 460466244644 575582805805 657808920920 822261151150 828176699000 920932489288 1151165611610 1315617841840 1644522302300 1656353398000 1841864978576 2055652877875 2302331223220 2877914029025 3289044604600 4111305755750 4604662446440 5755828058050 6578089209200 8222611511500 9209324892880 11511656116100 14389570145125 16445223023000 23023312232200 28779140290250 32890446046000 46046624464400 57558280580500 115116561161000 230233122322000