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130431224 = 23711219249
BaseRepresentation
bin1111100011000…
…11100011111000
3100002102121000002
413301203203320
5231342244344
620535332132
73142434650
oct761434370
9302377002
10130431224
1167696a00
1237821048
1321039b51
1413473360
15b6b644e
hex7c638f8

130431224 has 48 divisors (see below), whose sum is σ = 307230000. Its totient is φ = 50814720.

The previous prime is 130431199. The next prime is 130431271. The reversal of 130431224 is 422134031.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 130431196 and 130431205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2849 + ... + 16400.

It is an arithmetic number, because the mean of its divisors is an integer number (6400625).

Almost surely, 2130431224 is an apocalyptic number.

130431224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130431224 is an abundant number, since it is smaller than the sum of its proper divisors (176798776).

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

130431224 is a wasteful number, since it uses less digits than its factorization.

130431224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19284 (or 19269 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 130431224 is about 11420.6490183352. The cubic root of 130431224 is about 507.1392101909.

Adding to 130431224 its reverse (422134031), we get a palindrome (552565255).

The spelling of 130431224 in words is "one hundred thirty million, four hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1694 3388 6776 19249 38498 76996 134743 153992 211739 269486 423478 538972 846956 1077944 1482173 1693912 2329129 2964346 4658258 5928692 9316516 11857384 16303903 18633032 32607806 65215612 130431224