Search a number
-
+
23110520832 = 21235731107
BaseRepresentation
bin10101100001011111…
…101001000000000000
32012122121112002200000
4111201133221000000
5334312243131312
614341122400000
71445462120520
oct254137510000
965577462600
1023110520832
11988a3173a3
12458b800000
132243c475c9
14119345b680
15903d91adc
hex5617e9000

23110520832 has 624 divisors, whose sum is σ = 82433175552. Its totient is φ = 6330286080.

The previous prime is 23110520809. The next prime is 23110520833. The reversal of 23110520832 is 23802501132.

23110520832 is a `hidden beast` number, since 23 + 110 + 520 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23110520796 and 23110520805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23110520833) 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 47 ways as a sum of consecutive naturals, for example, 215986123 + ... + 215986229.

It is an arithmetic number, because the mean of its divisors is an integer number (132104448).

Almost surely, 223110520832 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 23110520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41216587776).

23110520832 is an abundant number, since it is smaller than the sum of its proper divisors (59322654720).

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

23110520832 is an equidigital number, since it uses as much as digits as its factorization.

23110520832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 23110520832 in words is "twenty-three billion, one hundred ten million, five hundred twenty thousand, eight hundred thirty-two".