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23230304120400 = 24352131723986381
BaseRepresentation
bin1010100100000101110100…
…00001100110111001010000
310001020210110211120021201220
411102002322001212321100
511021101130323323100
6121223504314125040
74615222410012156
oct522027201467120
9101223424507656
1023230304120400
117446a0a077113
122732231a20780
13cc67ba5092a0
145a44d1c073d6
152a44181ecaa0
hex1520ba066e50

23230304120400 has 240 divisors, whose sum is σ = 80144169194880. Its totient is φ = 5717830809600.

The previous prime is 23230304120369. The next prime is 23230304120417. The reversal of 23230304120400 is 402140303232.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268885210 + ... + 268971590.

It is an arithmetic number, because the mean of its divisors is an integer number (333934038312).

Almost surely, 223230304120400 is an apocalyptic number.

23230304120400 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 23230304120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40072084597440).

23230304120400 is an abundant number, since it is smaller than the sum of its proper divisors (56913865074480).

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

23230304120400 is a wasteful number, since it uses less digits than its factorization.

23230304120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103654 (or 103643 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23230304120400 its reverse (402140303232), we get a palindrome (23632444423632).

The spelling of 23230304120400 in words is "twenty-three trillion, two hundred thirty billion, three hundred four million, one hundred twenty thousand, four hundred".