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230772304416 = 2533691651281
BaseRepresentation
bin1101011011101100011…
…0011110101000100000
3211001122220210201100210
43112323012132220200
512240110202220131
6254003151214120
722446516136143
oct3267306365040
9731586721323
10230772304416
1189962a49a45
1238885217340
13189b96bb024
14b252d2605a
156009ca4146
hex35bb19ea20

230772304416 has 48 divisors (see below), whose sum is σ = 605942352288. Its totient is φ = 76903142400.

The previous prime is 230772304403. The next prime is 230772304453. The reversal of 230772304416 is 614403277032.

It is a happy number.

230772304416 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 28696 + ... + 679976.

It is an arithmetic number, because the mean of its divisors is an integer number (12623799006).

Almost surely, 2230772304416 is an apocalyptic number.

It is an amenable number.

230772304416 is an abundant number, since it is smaller than the sum of its proper divisors (375170047872).

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

230772304416 is a wasteful number, since it uses less digits than its factorization.

230772304416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654985 (or 654977 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 230772304416 in words is "two hundred thirty billion, seven hundred seventy-two million, three hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3691 7382 11073 14764 22146 29528 44292 59056 88584 118112 177168 354336 651281 1302562 1953843 2605124 3907686 5210248 7815372 10420496 15630744 20840992 31261488 62522976 2403878171 4807756342 7211634513 9615512684 14423269026 19231025368 28846538052 38462050736 57693076104 76924101472 115386152208 230772304416