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230430038688 = 25326961114941
BaseRepresentation
bin1101011010011010110…
…0110101101010100000
3211000210001202211001100
43112212230311222200
512233410042214223
6253505203234400
722435162003653
oct3264654655240
9730701684040
10230430038688
11897a7827703
12387aa678a00
1318963812325
14b21d6ad89a
155ed9be7043
hex35a6b35aa0

230430038688 has 72 divisors (see below), whose sum is σ = 655385261076. Its totient is φ = 76798310400.

The previous prime is 230430038681. The next prime is 230430038689. The reversal of 230430038688 is 886830034032.

230430038688 is a `hidden beast` number, since 2 + 304 + 300 + 38 + 6 + 8 + 8 = 666.

230430038688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 221490714384 + 8939324304 = 470628^2 + 94548^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2304300386882 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230430038681) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1947298 + ... + 2062238.

Almost surely, 2230430038688 is an apocalyptic number.

It is an amenable number.

230430038688 is an abundant number, since it is smaller than the sum of its proper divisors (424955222388).

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

230430038688 is a wasteful number, since it uses less digits than its factorization.

230430038688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121918 (or 121907 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 230430038688 in words is "two hundred thirty billion, four hundred thirty million, thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6961 13922 20883 27844 41766 55688 62649 83532 111376 114941 125298 167064 222752 229882 250596 334128 344823 459764 501192 668256 689646 919528 1002384 1034469 1379292 1839056 2004768 2068938 2758584 3678112 4137876 5517168 8275752 11034336 16551504 33103008 800104301 1600208602 2400312903 3200417204 4800625806 6400834408 7200938709 9601251612 12801668816 14401877418 19202503224 25603337632 28803754836 38405006448 57607509672 76810012896 115215019344 230430038688