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130657224 = 23319349821
BaseRepresentation
bin1111100100110…
…10101111001000
3100002212002000110
413302122233020
5231422012344
620544234320
73144365565
oct762325710
9302762013
10130657224
1167830785
123790b9a0
13210b8989
14134d186c
15b70d3b9
hex7c9abc8

130657224 has 64 divisors (see below), whose sum is σ = 345240000. Its totient is φ = 41091840.

The previous prime is 130657213. The next prime is 130657229. The reversal of 130657224 is 422756031.

It is a junction number, because it is equal to n+sod(n) for n = 130657191 and 130657200.

It is not an unprimeable number, because it can be changed into a prime (130657229) 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, 158734 + ... + 159554.

It is an arithmetic number, because the mean of its divisors is an integer number (5394375).

Almost surely, 2130657224 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 130657224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172620000).

130657224 is an abundant number, since it is smaller than the sum of its proper divisors (214582776).

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

130657224 is a wasteful number, since it uses less digits than its factorization.

130657224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 130657224 is about 11430.5390948984. The cubic root of 130657224 is about 507.4319502374.

The spelling of 130657224 in words is "one hundred thirty million, six hundred fifty-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 349 456 698 821 1047 1396 1642 2094 2463 2792 3284 4188 4926 6568 6631 8376 9852 13262 15599 19704 19893 26524 31198 39786 46797 53048 62396 79572 93594 124792 159144 187188 286529 374376 573058 859587 1146116 1719174 2292232 3438348 5444051 6876696 10888102 16332153 21776204 32664306 43552408 65328612 130657224