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230566976 = 26191271493
BaseRepresentation
bin11011011111000…
…10110001000000
3121001212000102122
431233202301000
5433011120401
634513503412
75466533633
oct1557426100
9531760378
10230566976
11109170422
1265271b68
13389ca383
142289bc1a
151539621b
hexdbe2c40

230566976 has 56 divisors (see below), whose sum is σ = 485729280. Its totient is φ = 108283392.

The previous prime is 230566949. The next prime is 230566979. The reversal of 230566976 is 679665032.

230566976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2305669762 = 106322260843569152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230566979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153686 + ... + 155178.

Almost surely, 2230566976 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 230566976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242864640).

230566976 is an abundant number, since it is smaller than the sum of its proper divisors (255162304).

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

230566976 is a wasteful number, since it uses less digits than its factorization.

230566976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 44.

The square root of 230566976 is about 15184.4320275735. The cubic root of 230566976 is about 613.1956065463.

The spelling of 230566976 in words is "two hundred thirty million, five hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 127 152 254 304 508 608 1016 1216 1493 2032 2413 2986 4064 4826 5972 8128 9652 11944 19304 23888 28367 38608 47776 56734 77216 95552 113468 154432 189611 226936 379222 453872 758444 907744 1516888 1815488 3033776 3602609 6067552 7205218 12135104 14410436 28820872 57641744 115283488 230566976