Search a number
-
+
23297144832 = 21135132277
BaseRepresentation
bin10101101100100111…
…100011100000000000
32020010121200120200000
4111230213203200000
5340203032113312
614411430400000
71453216315023
oct255447434000
966117616600
1023297144832
1199756a3805
124622200000
1322737ca500
1411b015b1ba
15915457adc
hex56c9e3800

23297144832 has 432 divisors, whose sum is σ = 75831766920. Its totient is φ = 7142473728.

The previous prime is 23297144791. The next prime is 23297144839. The reversal of 23297144832 is 23844179232.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23297144839) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84105078 + ... + 84105354.

Almost surely, 223297144832 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 23297144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37915883460).

23297144832 is an abundant number, since it is smaller than the sum of its proper divisors (52534622088).

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

23297144832 is an equidigital number, since it uses as much as digits as its factorization.

23297144832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 295 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 23297144832 in words is "twenty-three billion, two hundred ninety-seven million, one hundred forty-four thousand, eight hundred thirty-two".