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130585224 = 23371170663
BaseRepresentation
bin1111100100010…
…01001010001000
3100002201102020210
413302021022020
5231412211344
620542521120
73143645640
oct762111210
9302642223
10130585224
1167791680
12378961a0
1321091c83
14134b3520
15b6e6db9
hex7c89288

130585224 has 64 divisors (see below), whose sum is σ = 407024640. Its totient is φ = 33917760.

The previous prime is 130585219. The next prime is 130585229. The reversal of 130585224 is 422585031.

It is an interprime number because it is at equal distance from previous prime (130585219) and next prime (130585229).

It is a junction number, because it is equal to n+sod(n) for n = 130585191 and 130585200.

It is not an unprimeable number, because it can be changed into a prime (130585229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33484 + ... + 37179.

It is an arithmetic number, because the mean of its divisors is an integer number (6359760).

Almost surely, 2130585224 is an apocalyptic number.

130585224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130585224 is an abundant number, since it is smaller than the sum of its proper divisors (276439416).

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

130585224 is a wasteful number, since it uses less digits than its factorization.

130585224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70690 (or 70686 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 130585224 is about 11427.3892031382. The cubic root of 130585224 is about 507.3387245884.

The spelling of 130585224 in words is "one hundred thirty million, five hundred eighty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 70663 141326 211989 282652 423978 494641 565304 777293 847956 989282 1483923 1554586 1695912 1978564 2331879 2967846 3109172 3957128 4663758 5441051 5935692 6218344 9327516 10882102 11871384 16323153 18655032 21764204 32646306 43528408 65292612 130585224