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230620896 = 25321172797
BaseRepresentation
bin11011011111011…
…11111011100000
3121001221202101200
431233233323200
5433014332041
634515001200
75500150062
oct1557577340
9531852350
10230620896
111091a7990
1265299200
1338a18a8c
14228b3732
15153a71b6
hexdbefee0

230620896 has 72 divisors (see below), whose sum is σ = 715458744. Its totient is φ = 69884160.

The previous prime is 230620891. The next prime is 230620913. The reversal of 230620896 is 698026032.

230620896 is a `hidden beast` number, since 23 + 0 + 620 + 8 + 9 + 6 = 666.

230620896 is digitally balanced in base 3, because in such base 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 (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 230620896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230620891) 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, 33231 + ... + 39566.

It is an arithmetic number, because the mean of its divisors is an integer number (9936927).

Almost surely, 2230620896 is an apocalyptic number.

It is an amenable number.

230620896 is an abundant number, since it is smaller than the sum of its proper divisors (484837848).

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

230620896 is a wasteful number, since it uses less digits than its factorization.

230620896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72824 (or 72813 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 230620896 is about 15186.2074264775. The cubic root of 230620896 is about 613.2434031137.

It can be divided in two parts, 230 and 620896, that added together give a palindrome (621126).

The spelling of 230620896 in words is "two hundred thirty million, six hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 72797 145594 218391 291188 436782 582376 655173 800767 873564 1164752 1310346 1601534 1747128 2329504 2402301 2620692 3203068 3494256 4804602 5241384 6406136 6988512 7206903 9609204 10482768 12812272 14413806 19218408 20965536 25624544 28827612 38436816 57655224 76873632 115310448 230620896