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230762362640 = 2459013320041
BaseRepresentation
bin1101011011101010000…
…0100011011100010000
3211001122020002121210212
43112322200203130100
512240100131101030
6254002154143252
722446335501315
oct3267240433420
9731566077725
10230762362640
11899583795a7
1238881a21b28
13189b7619b14
14b251898d0c
156008e8d595
hex35ba823710

230762362640 has 40 divisors (see below), whose sum is σ = 536583697368. Its totient is φ = 92294415360.

The previous prime is 230762362631. The next prime is 230762362667. The reversal of 230762362640 is 46263267032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 347002384 + 230415360256 = 18628^2 + 480016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2307623626402 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561020 + ... + 881060.

Almost surely, 2230762362640 is an apocalyptic number.

230762362640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230762362640 is an abundant number, since it is smaller than the sum of its proper divisors (305821334728).

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

230762362640 is a wasteful number, since it uses less digits than its factorization.

230762362640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329067 (or 329061 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 41.

The spelling of 230762362640 in words is "two hundred thirty billion, seven hundred sixty-two million, three hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 9013 18026 36052 45065 72104 90130 144208 180260 320041 360520 640082 721040 1280164 1600205 2560328 3200410 5120656 6400820 12801640 25603280 2884529533 5769059066 11538118132 14422647665 23076236264 28845295330 46152472528 57690590660 115381181320 230762362640