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230412204 = 2232115711019
BaseRepresentation
bin11011011101111…
…00111110101100
3121001120011010100
431232330332230
5432441142304
634510311100
75465320461
oct1556747654
9531504110
10230412204
11109075110
12651b8490
1338974aa9
142285b668
1515365439
hexdbbcfac

230412204 has 72 divisors (see below), whose sum is σ = 637116480. Its totient is φ = 69631200.

The previous prime is 230412197. The next prime is 230412239. The reversal of 230412204 is 402214032.

230412204 is a `hidden beast` number, since 230 + 412 + 20 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 225607 + ... + 226625.

It is an arithmetic number, because the mean of its divisors is an integer number (8848840).

Almost surely, 2230412204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230412204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318558240).

230412204 is an abundant number, since it is smaller than the sum of its proper divisors (406704276).

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

230412204 is a wasteful number, since it uses less digits than its factorization.

230412204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230412204 is about 15179.3347680325. The cubic root of 230412204 is about 613.0583698445.

Adding to 230412204 its reverse (402214032), we get a palindrome (632626236).

The spelling of 230412204 in words is "two hundred thirty million, four hundred twelve thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 571 1019 1142 1713 2038 2284 3057 3426 4076 5139 6114 6281 6852 9171 10278 11209 12228 12562 18342 18843 20556 22418 25124 33627 36684 37686 44836 56529 67254 75372 100881 113058 134508 201762 226116 403524 581849 1163698 1745547 2327396 3491094 5236641 6400339 6982188 10473282 12800678 19201017 20946564 25601356 38402034 57603051 76804068 115206102 230412204