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23234120400 = 2435237214143
BaseRepresentation
bin10101101000110111…
…001000101011010000
32012222020002121101210
4111220313020223100
5340040413323100
614401255500120
71451522523231
oct255067105320
965866077353
1023234120400
1199430675a7
124605087640
132263731a4a
1411a5a33088
1590eb58c50
hex568dc8ad0

23234120400 has 180 divisors, whose sum is σ = 76497937152. Its totient is φ = 6027886080.

The previous prime is 23234120387. The next prime is 23234120431. The reversal of 23234120400 is 402143232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1635729 + ... + 1649871.

Almost surely, 223234120400 is an apocalyptic number.

23234120400 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 23234120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38248968576).

23234120400 is an abundant number, since it is smaller than the sum of its proper divisors (53263816752).

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

23234120400 is a wasteful number, since it uses less digits than its factorization.

23234120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14238 (or 14190 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 23234120400 its reverse (402143232), we get a palindrome (23636263632).

The spelling of 23234120400 in words is "twenty-three billion, two hundred thirty-four million, one hundred twenty thousand, four hundred".