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23380812000 = 253453713261
BaseRepresentation
bin10101110001100110…
…101110000011100000
32020100110010022110000
4111301212232003200
5340340441441000
614424015540000
71455253423440
oct256146560340
966313108400
1023380812000
119a0894a127
12464622a600
132287c42b00
1411bb2da120
1591c983000
hex5719ae0e0

23380812000 has 1440 divisors, whose sum is σ = 107940216384. Its totient is φ = 4852224000.

The previous prime is 23380811983. The next prime is 23380812031. The reversal of 23380812000 is 21808332.

23380812000 is a `hidden beast` number, since 2 + 3 + 380 + 81 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 383291970 + ... + 383292030.

Almost surely, 223380812000 is an apocalyptic number.

23380812000 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 23380812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53970108192).

23380812000 is an abundant number, since it is smaller than the sum of its proper divisors (84559404384).

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

23380812000 is a wasteful number, since it uses less digits than its factorization.

23380812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 91 counting only the distinct ones).

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

The spelling of 23380812000 in words is "twenty-three billion, three hundred eighty million, eight hundred twelve thousand".