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23232311320 = 2357327728723
BaseRepresentation
bin10101101000110000…
…001111000000011000
32012222002200200210211
4111220300033000120
5340034432430240
614401153020504
71451501250031
oct255060170030
965862620724
1023232311320
119942041399
124604554734
13226324a49a
1411a56c1a88
1590e8ecbea
hex568c0f018

23232311320 has 64 divisors (see below), whose sum is σ = 53181911520. Its totient is φ = 9132217344.

The previous prime is 23232311309. The next prime is 23232311321. The reversal of 23232311320 is 2311323232.

It is a junction number, because it is equal to n+sod(n) for n = 23232311291 and 23232311300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23232311321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794479 + ... + 823201.

Almost surely, 223232311320 is an apocalyptic number.

23232311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23232311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26590955760).

23232311320 is an abundant number, since it is smaller than the sum of its proper divisors (29949600200).

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

23232311320 is a wasteful number, since it uses less digits than its factorization.

23232311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29084 (or 29080 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 23232311320 its reverse (2311323232), we get a palindrome (25543634552).

The spelling of 23232311320 in words is "twenty-three billion, two hundred thirty-two million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 277 292 365 554 584 730 1108 1385 1460 2216 2770 2920 5540 11080 20221 28723 40442 57446 80884 101105 114892 143615 161768 202210 229784 287230 404420 574460 808840 1148920 2096779 4193558 7956271 8387116 10483895 15912542 16774232 20967790 31825084 39781355 41935580 63650168 79562710 83871160 159125420 318250840 580807783 1161615566 2323231132 2904038915 4646462264 5808077830 11616155660 23232311320