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23022102400 = 27521119291187
BaseRepresentation
bin10101011100001110…
…010110011110000000
32012102110010222101021
4111130032112132000
5334122124234100
614324243315224
71443336433033
oct253416263600
965373128337
1023022102400
119844416310
12456607bb14
13222b82a4cb
14118580301a
158eb228a1a
hex55c396780

23022102400 has 384 divisors, whose sum is σ = 67616208000. Its totient is φ = 7651123200.

The previous prime is 23022102359. The next prime is 23022102401. The reversal of 23022102400 is 420122032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23022102401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19394607 + ... + 19395793.

It is an arithmetic number, because the mean of its divisors is an integer number (176083875).

Almost surely, 223022102400 is an apocalyptic number.

23022102400 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 23022102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33808104000).

23022102400 is an abundant number, since it is smaller than the sum of its proper divisors (44594105600).

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

23022102400 is a wasteful number, since it uses less digits than its factorization.

23022102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 23022102400 its reverse (420122032), we get a palindrome (23442224432).

The spelling of 23022102400 in words is "twenty-three billion, twenty-two million, one hundred two thousand, four hundred".