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23230513152 = 21533711231
BaseRepresentation
bin10101101000101001…
…011000000000000000
32012221222022100012000
4111220221120000000
5340034002410102
614401050304000
71451450050410
oct255051300000
965858270160
1023230513152
119941023400
124603a28000
132262a6ab92
1411a5374640
1590e69501c
hex568a58000

23230513152 has 768 divisors, whose sum is σ = 89253427200. Its totient is φ = 5839257600.

The previous prime is 23230513151. The next prime is 23230513171. The reversal of 23230513152 is 25131503232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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 (23230513151) 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, 749371377 + ... + 749371407.

It is an arithmetic number, because the mean of its divisors is an integer number (116215400).

Almost surely, 223230513152 is an apocalyptic number.

23230513152 is a gapful number since it is divisible by the number (22) 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 23230513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44626713600).

23230513152 is an abundant number, since it is smaller than the sum of its proper divisors (66022914048).

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

23230513152 is an equidigital number, since it uses as much as digits as its factorization.

23230513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 23230513152 in words is "twenty-three billion, two hundred thirty million, five hundred thirteen thousand, one hundred fifty-two".