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264880220 = 225115322717
BaseRepresentation
bin11111100100111…
…00000001011100
3200110102022100112
433302130001130
51020302131340
642141145152
76364305353
oct1762340134
9613368315
10264880220
11126577480
127485b1b8
1342b52677
142727099a
15183c3065
hexfc9c05c

264880220 has 48 divisors (see below), whose sum is σ = 618293088. Its totient is φ = 94498560.

The previous prime is 264880219. The next prime is 264880241. The reversal of 264880220 is 22088462.

It is a happy number.

264880220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302 + ... + 23018.

It is an arithmetic number, because the mean of its divisors is an integer number (12881106).

Almost surely, 2264880220 is an apocalyptic number.

264880220 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 264880220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309146544).

264880220 is an abundant number, since it is smaller than the sum of its proper divisors (353412868).

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

264880220 is a wasteful number, since it uses less digits than its factorization.

264880220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22790 (or 22788 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 264880220 is about 16275.1411668225. The cubic root of 264880220 is about 642.2190386868.

The spelling of 264880220 in words is "two hundred sixty-four million, eight hundred eighty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660 22717 45434 90868 113585 227170 249887 454340 499774 999548 1204001 1249435 2408002 2498870 4816004 4997740 6020005 12040010 13244011 24080020 26488022 52976044 66220055 132440110 264880220