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63225864 = 233213312179
BaseRepresentation
bin1111000100110…
…0000000001000
311101222012120200
43301030000020
5112141211424
610135052200
71365260652
oct361140010
9141865520
1063225864
1132764589
1219211060
1310139370
14857b6d2
15583d8c9
hex3c4c008

63225864 has 96 divisors (see below), whose sum is σ = 190444800. Its totient is φ = 18817920.

The previous prime is 63225853. The next prime is 63225881. The reversal of 63225864 is 46852236.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27927 + ... + 30105.

It is an arithmetic number, because the mean of its divisors is an integer number (1983800).

Almost surely, 263225864 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 63225864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95222400).

63225864 is an abundant number, since it is smaller than the sum of its proper divisors (127218936).

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

63225864 is a wasteful number, since it uses less digits than its factorization.

63225864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2228 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 63225864 is about 7951.4692981863. The cubic root of 63225864 is about 398.3806699384.

The spelling of 63225864 in words is "sixty-three million, two hundred twenty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2179 2232 2418 3224 3627 4358 4836 6537 7254 8716 9672 13074 14508 17432 19611 26148 28327 29016 39222 52296 56654 67549 78444 84981 113308 135098 156888 169962 202647 226616 254943 270196 339924 405294 509886 540392 607941 679848 810588 878137 1019772 1215882 1621176 1756274 2039544 2431764 2634411 3512548 4863528 5268822 7025096 7903233 10537644 15806466 21075288 31612932 63225864