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231996384 = 25321942397
BaseRepresentation
bin11011101001111…
…11101111100000
3121011112122012200
431310333233200
5433342341014
635004253200
75514636204
oct1564775740
9534478180
10231996384
11109a57354
1265841200
13390aab89
1422b50b04
1515579a09
hexdd3fbe0

231996384 has 72 divisors (see below), whose sum is σ = 694479240. Its totient is φ = 73260288.

The previous prime is 231996379. The next prime is 231996407. The reversal of 231996384 is 483699132.

It is a happy number.

231996384 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 9 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15727 + ... + 26670.

It is an arithmetic number, because the mean of its divisors is an integer number (9645545).

Almost surely, 2231996384 is an apocalyptic number.

231996384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231996384 is an abundant number, since it is smaller than the sum of its proper divisors (462482856).

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

231996384 is a wasteful number, since it uses less digits than its factorization.

231996384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42432 (or 42421 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 231996384 is about 15231.4275102500. The cubic root of 231996384 is about 614.4601727362.

The spelling of 231996384 in words is "two hundred thirty-one million, nine hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 42397 84794 127191 169588 254382 339176 381573 508764 678352 763146 805543 1017528 1356704 1526292 1611086 2035056 2416629 3052584 3222172 4070112 4833258 6105168 6444344 7249887 9666516 12210336 12888688 14499774 19333032 25777376 28999548 38666064 57999096 77332128 115998192 231996384