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232097604384 = 25312719036877
BaseRepresentation
bin1101100000101000011…
…0000110001100100000
3211012002021120221010210
43120022012012030200
512300313441320014
6254342453054120
722524411041352
oct3301206061440
9735067527123
10232097604384
118a483057478
1238b95027340
1318b6b1438a9
14b33ad510d2
1560862e0859
hex360a186320

232097604384 has 48 divisors (see below), whose sum is σ = 614053536768. Its totient is φ = 76756684032.

The previous prime is 232097604379. The next prime is 232097604397. The reversal of 232097604384 is 483406790232.

232097604384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9506247 + ... + 9530630.

It is an arithmetic number, because the mean of its divisors is an integer number (12792782016).

Almost surely, 2232097604384 is an apocalyptic number.

232097604384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232097604384 is an abundant number, since it is smaller than the sum of its proper divisors (381955932384).

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

232097604384 is a wasteful number, since it uses less digits than its factorization.

232097604384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19037017 (or 19037009 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 232097604384 in words is "two hundred thirty-two billion, ninety-seven million, six hundred four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 19036877 38073754 57110631 76147508 114221262 152295016 228442524 304590032 456885048 609180064 913770096 1827540192 2417683379 4835366758 7253050137 9670733516 14506100274 19341467032 29012200548 38682934064 58024401096 77365868128 116048802192 232097604384