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230900739584 = 295357714747
BaseRepresentation
bin1101011100001011000…
…0011010111000000000
3211001222212110220021212
43113002300122320000
512240341042131314
6254024020105252
722452635621534
oct3270260327000
9731885426255
10230900739584
1189a194a2209
1238900235228
1318a0a1a9478
14b265dd9bc4
1560161c3e3e
hex35c2c1ae00

230900739584 has 80 divisors (see below), whose sum is σ = 470901811248. Its totient is φ = 113068081152.

The previous prime is 230900739551. The next prime is 230900739613. The reversal of 230900739584 is 485937009032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15650099 + ... + 15664845.

Almost surely, 2230900739584 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 230900739584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235450905624).

230900739584 is an abundant number, since it is smaller than the sum of its proper divisors (240001071664).

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

230900739584 is an equidigital number, since it uses as much as digits as its factorization.

230900739584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15395 (or 15379 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 230900739584 in words is "two hundred thirty billion, nine hundred million, seven hundred thirty-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 577 848 1154 1696 2308 3392 4616 6784 9232 13568 14747 18464 27136 29494 30581 36928 58988 61162 73856 117976 122324 147712 235952 244648 295424 471904 489296 781591 943808 978592 1563182 1887616 1957184 3126364 3775232 3914368 6252728 7550464 7828736 8509019 12505456 15657472 17018038 25010912 34036076 50021824 68072152 100043648 136144304 200087296 272288608 400174592 450978007 544577216 901956014 1089154432 1803912028 2178308864 3607824056 4356617728 7215648112 14431296224 28862592448 57725184896 115450369792 230900739584