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130636224 = 2632226799
BaseRepresentation
bin1111100100101…
…01100111000000
3100002211000012200
413302111213000
5231420324344
620543553200
73144250425
oct762254700
9302730180
10130636224
1167816a24
12378bb800
13210ac254
14134c7d4c
15b707069
hex7c959c0

130636224 has 42 divisors (see below), whose sum is σ = 374446800. Its totient is φ = 43545216.

The previous prime is 130636199. The next prime is 130636243. The reversal of 130636224 is 422636031.

130636224 is a `hidden beast` number, since 1 + 3 + 0 + 636 + 2 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112824 + ... + 113975.

It is an arithmetic number, because the mean of its divisors is an integer number (8915400).

Almost surely, 2130636224 is an apocalyptic number.

It is an amenable number.

130636224 is an abundant number, since it is smaller than the sum of its proper divisors (243810576).

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

130636224 is a wasteful number, since it uses less digits than its factorization.

130636224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226817 (or 226804 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 130636224 is about 11429.6204661397. The cubic root of 130636224 is about 507.4047629617.

It can be divided in two parts, 1 and 30636224, that added together give a square (30636225 = 55352).

The spelling of 130636224 in words is "one hundred thirty million, six hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 226799 453598 680397 907196 1360794 1814392 2041191 2721588 3628784 4082382 5443176 7257568 8164764 10886352 14515136 16329528 21772704 32659056 43545408 65318112 130636224