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23068800000 = 210345589
BaseRepresentation
bin10101011111000000…
…011111010000000000
32012112201000110110000
4111133000133100000
5334221103100000
614333032240000
71444444364451
oct253700372000
965481013400
1023068800000
119868810974
124579840000
1322383ca71c
14118babb128
159003a0000
hex55f01f400

23068800000 has 660 divisors, whose sum is σ = 87071887980. Its totient is φ = 6082560000.

The previous prime is 23068799983. The next prime is 23068800031. The reversal of 23068800000 is 886032.

It can be written as a sum of positive squares in 6 ways, for example, as 21489214464 + 1579585536 = 146592^2 + 39744^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 259199956 + ... + 259200044.

It is an arithmetic number, because the mean of its divisors is an integer number (131927103).

Almost surely, 223068800000 is an apocalyptic number.

23068800000 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 23068800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43535943990).

23068800000 is an abundant number, since it is smaller than the sum of its proper divisors (64003087980).

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

23068800000 is an frugal number, since it uses more digits than its factorization.

23068800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 23068800000 in words is "twenty-three billion, sixty-eight million, eight hundred thousand".