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23380534400 = 275267167653
BaseRepresentation
bin10101110001100101…
…101010010010000000
32020100102121012122112
4111301211222102000
5340340404100100
614424005554452
71455251156216
oct256145522200
966312535575
1023380534400
119a0877a603
124646115a28
132287b76652
1411bb266cb6
1591c92ab35
hex57196a480

23380534400 has 192 divisors, whose sum is σ = 59060594880. Its totient is φ = 9143439360.

The previous prime is 23380534391. The next prime is 23380534403. The reversal of 23380534400 is 443508332.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (23380534403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35804474 + ... + 35805126.

It is an arithmetic number, because the mean of its divisors is an integer number (307607265).

Almost surely, 223380534400 is an apocalyptic number.

23380534400 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 23380534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29530297440).

23380534400 is an abundant number, since it is smaller than the sum of its proper divisors (35680060480).

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

23380534400 is a wasteful number, since it uses less digits than its factorization.

23380534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 23380534400 in words is "twenty-three billion, three hundred eighty million, five hundred thirty-four thousand, four hundred".