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64225128 = 23311673631
BaseRepresentation
bin1111010011111…
…1111101101000
311110211222022110
43310333331220
5112420201003
610212322320
71406622162
oct364777550
9143758273
1064225128
1133287320
12196133a0
13103c9146
14875b932
155989a03
hex3d3ff68

64225128 has 64 divisors (see below), whose sum is σ = 177822720. Its totient is φ = 19166400.

The previous prime is 64225121. The next prime is 64225129. The reversal of 64225128 is 82152246.

It is a junction number, because it is equal to n+sod(n) for n = 64225095 and 64225104.

It is not an unprimeable number, because it can be changed into a prime (64225121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15873 + ... + 19503.

It is an arithmetic number, because the mean of its divisors is an integer number (2778480).

Almost surely, 264225128 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 64225128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88911360).

64225128 is an abundant number, since it is smaller than the sum of its proper divisors (113597592).

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

64225128 is a wasteful number, since it uses less digits than its factorization.

64225128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3714 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 64225128 is about 8014.0581480296. The cubic root of 64225128 is about 400.4684677973.

The spelling of 64225128 in words is "sixty-four million, two hundred twenty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 3631 4422 5896 7262 8844 10893 14524 17688 21786 29048 39941 43572 79882 87144 119823 159764 239646 243277 319528 479292 486554 729831 958584 973108 1459662 1946216 2676047 2919324 5352094 5838648 8028141 10704188 16056282 21408376 32112564 64225128