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23234843232 = 2532313721901
BaseRepresentation
bin10101101000111001…
…111001001001100000
32012222021110022221100
4111220321321021200
5340041104440412
614401323154400
71451531623506
oct255071711140
965867408840
1023234843232
119943510687
124605375a00
132263925a63
1411a5b80676
1590ec4cedc
hex568e79260

23234843232 has 216 divisors, whose sum is σ = 70135595712. Its totient is φ = 7288704000.

The previous prime is 23234843227. The next prime is 23234843237.

23234843232 is a `hidden beast` number, since 2 + 323 + 4 + 8 + 4 + 323 + 2 = 666.

23234843232 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23234843227) and next prime (23234843237).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23234843237) 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, 12221482 + ... + 12223382.

It is an arithmetic number, because the mean of its divisors is an integer number (324701832).

Almost surely, 223234843232 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 23234843232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35067797856).

23234843232 is an abundant number, since it is smaller than the sum of its proper divisors (46900752480).

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

23234843232 is a wasteful number, since it uses less digits than its factorization.

23234843232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 1974 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 23234843232 in words is "twenty-three billion, two hundred thirty-four million, eight hundred forty-three thousand, two hundred thirty-two".