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23152032000 = 283253194231
BaseRepresentation
bin10101100011111101…
…111111100100000000
32012202111122002021200
4111203331333210000
5334403410011000
614345204221200
71446505011366
oct254375774400
965674562250
1023152032000
11990079a349
1245a169a800
13224c71cc26
141198b85636
15907841500
hex563f7f900

23152032000 has 432 divisors, whose sum is σ = 87713109120. Its totient is φ = 5847552000.

The previous prime is 23152031989. The next prime is 23152032023. The reversal of 23152032000 is 23025132.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5469885 + ... + 5474115.

Almost surely, 223152032000 is an apocalyptic number.

23152032000 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 23152032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43856554560).

23152032000 is an abundant number, since it is smaller than the sum of its proper divisors (64561077120).

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

23152032000 is a wasteful number, since it uses less digits than its factorization.

23152032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 23152032000 its reverse (23025132), we get a palindrome (23175057132).

The spelling of 23152032000 in words is "twenty-three billion, one hundred fifty-two million, thirty-two thousand".