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23056304400 = 2433521728389
BaseRepresentation
bin10101011110010000…
…110100100100010000
32012111211111121201000
4111132100310210100
5334204403220100
614331504342000
71444233232233
oct253620644420
965454447630
1023056304400
119861756828
124575614900
132235943c8c
14118a18741a
158ee232900
hex55e434910

23056304400 has 720 divisors, whose sum is σ = 89216164800. Its totient is φ = 5652725760.

The previous prime is 23056304393. The next prime is 23056304407. The reversal of 23056304400 is 440365032.

23056304400 is a `hidden beast` number, since 23 + 0 + 5 + 630 + 4 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23056304393) and next prime (23056304407).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23056304407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 259059556 + ... + 259059644.

It is an arithmetic number, because the mean of its divisors is an integer number (123911340).

Almost surely, 223056304400 is an apocalyptic number.

23056304400 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 23056304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44608082400).

23056304400 is an abundant number, since it is smaller than the sum of its proper divisors (66159860400).

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

23056304400 is a wasteful number, since it uses less digits than its factorization.

23056304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 23056304400 its reverse (440365032), we get a palindrome (23496669432).

The spelling of 23056304400 in words is "twenty-three billion, fifty-six million, three hundred four thousand, four hundred".