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23130234000 = 24325317269281
BaseRepresentation
bin10101100010101010…
…110101110010010000
32012200222121122001100
4111202222311302100
5334332314442000
614343105104400
71446121513356
oct254252656220
965628548040
1023130234000
11989a461175
124596328100
13224805a2c3
141195d0d7d6
15905987a00
hex562ab5c90

23130234000 has 480 divisors, whose sum is σ = 86161851360. Its totient is φ = 5763072000.

The previous prime is 23130233999. The next prime is 23130234013. The reversal of 23130234000 is 43203132.

23130234000 is a `hidden beast` number, since 23 + 1 + 302 + 340 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 16870892544 + 6259341456 = 129888^2 + 79116^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82313860 + ... + 82314140.

It is an arithmetic number, because the mean of its divisors is an integer number (179503857).

Almost surely, 223130234000 is an apocalyptic number.

23130234000 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 23130234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43080925680).

23130234000 is an abundant number, since it is smaller than the sum of its proper divisors (63031617360).

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

23130234000 is a wasteful number, since it uses less digits than its factorization.

23130234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23130234000 its reverse (43203132), we get a palindrome (23173437132).

The spelling of 23130234000 in words is "twenty-three billion, one hundred thirty million, two hundred thirty-four thousand".