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23280900 = 22352711093
BaseRepresentation
bin101100011001…
…1110100000100
31121210210101120
41120303310010
521424442100
62150553540
7401612226
oct130636404
947723346
1023280900
1112161315
1279688b0
134a918a6
143140416
15209d0a0
hex1633d04

23280900 has 72 divisors (see below), whose sum is σ = 68370624. Its totient is φ = 6115200.

The previous prime is 23280889. The next prime is 23280923. The reversal of 23280900 is 908232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20754 + ... + 21846.

It is an arithmetic number, because the mean of its divisors is an integer number (949592).

Almost surely, 223280900 is an apocalyptic number.

23280900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23280900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34185312).

23280900 is an abundant number, since it is smaller than the sum of its proper divisors (45089724).

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

23280900 is a wasteful number, since it uses less digits than its factorization.

23280900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 23280900 is about 4825.0284973252. The cubic root of 23280900 is about 285.5397588893.

The spelling of 23280900 in words is "twenty-three million, two hundred eighty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1093 1420 1775 2130 2186 3279 3550 4260 4372 5325 5465 6558 7100 10650 10930 13116 16395 21300 21860 27325 32790 54650 65580 77603 81975 109300 155206 163950 232809 310412 327900 388015 465618 776030 931236 1164045 1552060 1940075 2328090 3880150 4656180 5820225 7760300 11640450 23280900