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233020680 = 23351941839
BaseRepresentation
bin11011110001110…
…01110100001000
3121020110200021120
431320321310020
5434123130210
635042235240
75526433404
oct1570716410
9536420246
10233020680
1110a596982
1266055b20
1339379179
1422d3a104
15156cd270
hexde39d08

233020680 has 32 divisors (see below), whose sum is σ = 699062400. Its totient is φ = 62138816.

The previous prime is 233020679. The next prime is 233020681. The reversal of 233020680 is 86020332.

233020680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233020679) and next prime (233020681).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 233020680.

It is not an unprimeable number, because it can be changed into a prime (233020681) 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, 970800 + ... + 971039.

It is an arithmetic number, because the mean of its divisors is an integer number (21845700).

Almost surely, 2233020680 is an apocalyptic number.

233020680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233020680 is an abundant number, since it is smaller than the sum of its proper divisors (466041720).

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

233020680 is a wasteful number, since it uses less digits than its factorization.

233020680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941853 (or 1941849 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 233020680 is about 15265.0149033665. The cubic root of 233020680 is about 615.3631538830.

The spelling of 233020680 in words is "two hundred thirty-three million, twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1941839 3883678 5825517 7767356 9709195 11651034 15534712 19418390 23302068 29127585 38836780 46604136 58255170 77673560 116510340 233020680