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130885224 = 233193147197
BaseRepresentation
bin1111100110100…
…10011001101000
3100010021122202220
413303102121220
5232001311344
620553154040
73146335401
oct763223150
9303248686
10130885224
1167977008
12379bb920
13211686a2
14135509a8
15b755c19
hex7cd2668

130885224 has 128 divisors (see below), whose sum is σ = 364953600. Its totient is φ = 38949120.

The previous prime is 130885219. The next prime is 130885229. The reversal of 130885224 is 422588031.

It is an interprime number because it is at equal distance from previous prime (130885219) and next prime (130885229).

It is not an unprimeable number, because it can be changed into a prime (130885229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664294 + ... + 664490.

It is an arithmetic number, because the mean of its divisors is an integer number (2851200).

Almost surely, 2130885224 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 130885224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182476800).

130885224 is an abundant number, since it is smaller than the sum of its proper divisors (234068376).

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

130885224 is a wasteful number, since it uses less digits than its factorization.

130885224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 130885224 is about 11440.5080306777. The cubic root of 130885224 is about 507.7269390376.

The spelling of 130885224 in words is "one hundred thirty million, eight hundred eighty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 47 57 62 76 93 94 114 124 141 152 186 188 197 228 248 282 372 376 394 456 564 589 591 744 788 893 1128 1178 1182 1457 1576 1767 1786 2356 2364 2679 2914 3534 3572 3743 4371 4712 4728 5358 5828 6107 7068 7144 7486 8742 9259 10716 11229 11656 12214 14136 14972 17484 18321 18518 21432 22458 24428 27683 27777 29944 34968 36642 37036 44916 48856 55366 55554 73284 74072 83049 89832 110732 111108 116033 146568 166098 175921 221464 222216 232066 287029 332196 348099 351842 464132 527763 574058 664392 696198 703684 861087 928264 1055526 1148116 1392396 1407368 1722174 2111052 2296232 2784792 3444348 4222104 5453551 6888696 10907102 16360653 21814204 32721306 43628408 65442612 130885224