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130310224 = 2411329211
BaseRepresentation
bin1111100010001…
…10000001010000
3100002012110000121
413301012001100
5231324411344
620533000024
73141422122
oct761060120
9302173017
10130310224
1167614000
1237783014
1320cc6a55
1413441212
15b690684
hex7c46050

130310224 has 80 divisors (see below), whose sum is σ = 288642240. Its totient is φ = 56918400.

The previous prime is 130310221. The next prime is 130310231. The reversal of 130310224 is 422013031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130310198 and 130310207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130310221) 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, 617479 + ... + 617689.

It is an arithmetic number, because the mean of its divisors is an integer number (3608028).

Almost surely, 2130310224 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 130310224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144321120).

130310224 is an abundant number, since it is smaller than the sum of its proper divisors (158332016).

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

130310224 is a wasteful number, since it uses less digits than its factorization.

130310224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 130310224 is about 11415.3503669401. The cubic root of 130310224 is about 506.9823386794.

Adding to 130310224 its reverse (422013031), we get a palindrome (552323255).

The spelling of 130310224 in words is "one hundred thirty million, three hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 211 232 242 319 422 464 484 638 844 968 1276 1331 1688 1936 2321 2552 2662 3376 3509 4642 5104 5324 6119 7018 9284 10648 12238 14036 18568 21296 24476 25531 28072 37136 38599 48952 51062 56144 67309 77198 97904 102124 134618 154396 204248 269236 280841 308792 408496 538472 561682 617584 740399 1076944 1123364 1480798 2246728 2961596 4493456 5923192 8144389 11846384 16288778 32577556 65155112 130310224