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23380358400 = 283452717379
BaseRepresentation
bin10101110001100100…
…111111010100000000
32020100102021021020000
4111301210333110000
5340340332432100
614424002120000
71455246524130
oct256144772400
966312237200
1023380358400
119a0866a353
124646050000
132287b144c9
1411bb21cac0
1591c8e3900
hex57193f500

23380358400 has 1080 divisors, whose sum is σ = 104885161920. Its totient is φ = 5016453120.

The previous prime is 23380358389. The next prime is 23380358411. The reversal of 23380358400 is 485308332.

It is an interprime number because it is at equal distance from previous prime (23380358389) and next prime (23380358411).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61689411 + ... + 61689789.

Almost surely, 223380358400 is an apocalyptic number.

23380358400 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 23380358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52442580960).

23380358400 is an abundant number, since it is smaller than the sum of its proper divisors (81504803520).

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

23380358400 is a wasteful number, since it uses less digits than its factorization.

23380358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 23380358400 in words is "twenty-three billion, three hundred eighty million, three hundred fifty-eight thousand, four hundred".