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23412422400 = 283521816737
BaseRepresentation
bin10101110011011111…
…010011011100000000
32020102122121021202120
4111303133103130000
5340422040004100
614431105244240
71456116210153
oct256337233400
966378537676
1023412422400
119a2477a524
124654933680
13229165caa3
1411c15a7c9a
159206290a0
hex5737d3700

23412422400 has 216 divisors, whose sum is σ = 77704287024. Its totient is φ = 6207897600.

The previous prime is 23412422347. The next prime is 23412422431. The reversal of 23412422400 is 422421432.

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 23 ways as a sum of consecutive naturals, for example, 3471832 + ... + 3478568.

Almost surely, 223412422400 is an apocalyptic number.

23412422400 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 23412422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38852143512).

23412422400 is an abundant number, since it is smaller than the sum of its proper divisors (54291864624).

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

23412422400 is a wasteful number, since it uses less digits than its factorization.

23412422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6947 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23412422400 its reverse (422421432), we get a palindrome (23834843832).

The spelling of 23412422400 in words is "twenty-three billion, four hundred twelve million, four hundred twenty-two thousand, four hundred".