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230567680 = 285725733
BaseRepresentation
bin11011011111000…
…10111100000000
3121001212001101201
431233202330000
5433011131210
634513510544
75466535660
oct1557427400
9531761351
10230567680
11109170a02
1265272454
13389ca7a5
142289c1a0
151539653a
hexdbe2f00

230567680 has 72 divisors (see below), whose sum is σ = 631203552. Its totient is φ = 79048704.

The previous prime is 230567657. The next prime is 230567681. The reversal of 230567680 is 86765032.

230567680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2305676802 = 106322910121164800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230567681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3907 + ... + 21826.

It is an arithmetic number, because the mean of its divisors is an integer number (8766716).

Almost surely, 2230567680 is an apocalyptic number.

230567680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230567680 is an abundant number, since it is smaller than the sum of its proper divisors (400635872).

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

230567680 is an equidigital number, since it uses as much as digits as its factorization.

230567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25761 (or 25747 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 230567680 is about 15184.4552091934. The cubic root of 230567680 is about 613.1962306444.

The spelling of 230567680 in words is "two hundred thirty million, five hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 25733 51466 102932 128665 180131 205864 257330 360262 411728 514660 720524 823456 900655 1029320 1441048 1646912 1801310 2058640 2882096 3293824 3602620 4117280 5764192 6587648 7205240 8234560 11528384 14410480 16469120 23056768 28820960 32938240 46113536 57641920 115283840 230567680