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230008482612 = 2232371213142357
BaseRepresentation
bin1101011000110110010…
…0101110101100110100
3210222200200112112211100
43112031210232230310
512232024132420422
6253355304010100
722421552562336
oct3261544565464
9728620475740
10230008482612
1189600879357
12386b1460930
13188c739426c
14b1bd6d7456
155eb2bc67ac
hex358d92eb34

230008482612 has 72 divisors (see below), whose sum is σ = 597620592296. Its totient is φ = 74535323904.

The previous prime is 230008482593. The next prime is 230008482619. The reversal of 230008482612 is 216284800032.

230008482612 is a `hidden beast` number, since 2 + 30 + 0 + 0 + 8 + 4 + 8 + 2 + 612 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63297936 + 229945184676 = 7956^2 + 479526^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230008482619) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1544538 + ... + 1686894.

Almost surely, 2230008482612 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 230008482612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298810296148).

230008482612 is an abundant number, since it is smaller than the sum of its proper divisors (367612109684).

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

230008482612 is a wasteful number, since it uses less digits than its factorization.

230008482612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143617 (or 143612 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 230008482612 in words is "two hundred thirty billion, eight million, four hundred eighty-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1213 1332 2426 3639 4852 7278 10917 14556 21834 43668 44881 89762 134643 142357 179524 269286 284714 403929 427071 538572 569428 807858 854142 1281213 1615716 1708284 2562426 5124852 5267209 10534418 15801627 21068836 31603254 47404881 63206508 94809762 172679041 189619524 345358082 518037123 690716164 1036074246 1554111369 2072148492 3108222738 6216445476 6389124517 12778249034 19167373551 25556498068 38334747102 57502120653 76669494204 115004241306 230008482612