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23123232000 = 28345311811
BaseRepresentation
bin10101100010010000…
…001000010100000000
32012200111102220010000
4111202100020110000
5334324021411000
614342255040000
71446005141361
oct254220102400
965614386100
1023123232000
1198965094a0
124593b10000
1322467781cb
141195009b68
15905053000
hex562408500

23123232000 has 720 divisors, whose sum is σ = 93987077184. Its totient is φ = 5598720000.

The previous prime is 23123231977. The next prime is 23123232043. The reversal of 23123232000 is 23232132.

It is a happy number.

23123232000 is a `hidden beast` number, since 2 + 312 + 32 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28511595 + ... + 28512405.

Almost surely, 223123232000 is an apocalyptic number.

23123232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23123232000 is the 76032-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23123232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46993538592).

23123232000 is an abundant number, since it is smaller than the sum of its proper divisors (70863845184).

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

23123232000 is an equidigital number, since it uses as much as digits as its factorization.

23123232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 832 counting only the distinct ones).

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

Adding to 23123232000 its reverse (23232132), we get a palindrome (23146464132).

The spelling of 23123232000 in words is "twenty-three billion, one hundred twenty-three million, two hundred thirty-two thousand".