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232056442332 = 2232111345077009
BaseRepresentation
bin1101100000011110100…
…1000100110111011100
3211011222102010200102100
43120013221010313130
512300222422123312
6254334422525100
722523401133361
oct3300751046734
9734872120370
10232056442332
118a4618a2850
1238b83296790
1318b62761150
14b3356b8468
1560828ae5dc
hex3607a44ddc

232056442332 has 72 divisors (see below), whose sum is σ = 689137328880. Its totient is φ = 64910891520.

The previous prime is 232056442313. The next prime is 232056442349. The reversal of 232056442332 is 233244650232.

232056442332 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 5 + 644 + 2 + 3 + 3 + 2 = 666.

232056442332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22533357 + ... + 22543652.

It is an arithmetic number, because the mean of its divisors is an integer number (9571351790).

Almost surely, 2232056442332 is an apocalyptic number.

232056442332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232056442332 is an abundant number, since it is smaller than the sum of its proper divisors (457080886548).

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

232056442332 is a wasteful number, since it uses less digits than its factorization.

232056442332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45077043 (or 45077038 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 232056442332 in words is "two hundred thirty-two billion, fifty-six million, four hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 45077009 90154018 135231027 180308036 270462054 405693081 495847099 540924108 586001117 811386162 991694198 1172002234 1487541297 1622772324 1758003351 1983388396 2344004468 2975082594 3516006702 4462623891 5274010053 5950165188 6446012287 7032013404 8925247782 10548020106 12892024574 17850495564 19338036861 21096040212 25784049148 38676073722 58014110583 77352147444 116028221166 232056442332