Search a number
-
+
23315364000 = 25355317283
BaseRepresentation
bin10101101101101101…
…000011100010100000
32020011212222012200000
4111231231003202200
5340222213122000
614413321100000
71453530216105
oct255555034240
966155865600
1023315364000
119984a08075
124628327600
132277509196
1411b2740aac
15916d56000
hex56db438a0

23315364000 has 864 divisors, whose sum is σ = 92253784896. Its totient is φ = 5781196800.

The previous prime is 23315363957. The next prime is 23315364013. The reversal of 23315364000 is 46351332.

It is a happy number.

23315364000 is a `hidden beast` number, since 2 + 3 + 3 + 15 + 3 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 280907959 + ... + 280908041.

It is an arithmetic number, because the mean of its divisors is an integer number (106775214).

Almost surely, 223315364000 is an apocalyptic number.

23315364000 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 23315364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46126892448).

23315364000 is an abundant number, since it is smaller than the sum of its proper divisors (68938420896).

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

23315364000 is an equidigital number, since it uses as much as digits as its factorization.

23315364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 23315364000 in words is "twenty-three billion, three hundred fifteen million, three hundred sixty-four thousand".