Search a number
-
+
2131231232 = 2913973301
BaseRepresentation
bin111111100001000…
…0000001000000000
312111112021202122002
41333002000020000
513331043344412
6551251403132
7103546111064
oct17702001000
95445252562
102131231232
119a402a629
124b58b34a8
1327c704390
14163099aa4
15c7185dc2
hex7f080200

2131231232 has 80 divisors (see below), whose sum is σ = 4634541912. Its totient is φ = 973209600.

The previous prime is 2131231229. The next prime is 2131231241. The reversal of 2131231232 is 2321321312.

It can be written as a sum of positive squares in 4 ways, for example, as 1097994496 + 1033236736 = 33136^2 + 32144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643982 + ... + 647282.

Almost surely, 22131231232 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 2131231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317270956).

2131231232 is an abundant number, since it is smaller than the sum of its proper divisors (2503310680).

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

2131231232 is an equidigital number, since it uses as much as digits as its factorization.

2131231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3413 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 2131231232 is about 46165.2600122646. The cubic root of 2131231232 is about 1286.8962162445.

Adding to 2131231232 its reverse (2321321312), we get a palindrome (4452552544).

The spelling of 2131231232 in words is "two billion, one hundred thirty-one million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 194 208 256 388 416 512 776 832 1261 1552 1664 2522 3104 3301 3328 5044 6208 6602 6656 10088 12416 13204 20176 24832 26408 40352 42913 49664 52816 80704 85826 105632 161408 171652 211264 320197 322816 343304 422528 640394 645632 686608 845056 1280788 1373216 1690112 2561576 2746432 4162561 5123152 5492864 8325122 10246304 10985728 16650244 20492608 21971456 33300488 40985216 66600976 81970432 133201952 163940864 266403904 532807808 1065615616 2131231232