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232313132420 = 22523574928153
BaseRepresentation
bin1101100001011011110…
…0010001010110000100
3211012122022010220000122
43120112330101112010
512301234130214140
6254420112401112
722532636021105
oct3302674212604
9735568126018
10232313132420
118a583785916
1239035246198
1318ba39a6985
14b35b8163ac
15609a1b5ab5
hex3616f11584

232313132420 has 24 divisors (see below), whose sum is σ = 488064659544. Its totient is φ = 92885808896.

The previous prime is 232313132399. The next prime is 232313132423. The reversal of 232313132420 is 24231313232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 588353536 + 231724778884 = 24256^2 + 481378^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 232313132420.

It is not an unprimeable number, because it can be changed into a prime (232313132423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2416937 + ... + 2511216.

It is an arithmetic number, because the mean of its divisors is an integer number (20336027481).

Almost surely, 2232313132420 is an apocalyptic number.

232313132420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232313132420 is an abundant number, since it is smaller than the sum of its proper divisors (255751527124).

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

232313132420 is a wasteful number, since it uses less digits than its factorization.

232313132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930519 (or 4930517 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 232313132420 its reverse (24231313232), we get a palindrome (256544445652).

The spelling of 232313132420 in words is "two hundred thirty-two billion, three hundred thirteen million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 2357 4714 9428 11785 23570 47140 4928153 9856306 19712612 24640765 49281530 98563060 11615656621 23231313242 46462626484 58078283105 116156566210 232313132420