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230961984 = 26311109357
BaseRepresentation
bin11011100010000…
…11001101000000
3121002121002021120
431301003031000
5433111240414
634530152240
75503100361
oct1561031500
9532532246
10230961984
11109410180
1265422680
1338b080c6
1422961b68
15154232a9
hexdc43340

230961984 has 56 divisors (see below), whose sum is σ = 666646368. Its totient is φ = 69987840.

The previous prime is 230961971. The next prime is 230962009. The reversal of 230961984 is 489169032.

230961984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52567 + ... + 56790.

Almost surely, 2230961984 is an apocalyptic number.

230961984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230961984 is an abundant number, since it is smaller than the sum of its proper divisors (435684384).

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

230961984 is a wasteful number, since it uses less digits than its factorization.

230961984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109383 (or 109373 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 230961984 is about 15197.4334675300. The cubic root of 230961984 is about 613.5455829153.

The spelling of 230961984 in words is "two hundred thirty million, nine hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 109357 218714 328071 437428 656142 874856 1202927 1312284 1749712 2405854 2624568 3499424 3608781 4811708 5249136 6998848 7217562 9623416 10498272 14435124 19246832 20996544 28870248 38493664 57740496 76987328 115480992 230961984