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23201552000 = 275311241547
BaseRepresentation
bin10101100110111010…
…111001011010000000
32012212221210221221202
4111212322321122000
5340004044131000
614354133440332
71450645636514
oct254672713200
965787727852
1023201552000
119926742470
1245b61a00a8
132259a6a9c3
1411a1596144
1590bd73dd5
hex566eb9680

23201552000 has 256 divisors, whose sum is σ = 63305573760. Its totient is φ = 8386560000.

The previous prime is 23201551973. The next prime is 23201552039. The reversal of 23201552000 is 25510232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42415727 + ... + 42416273.

Almost surely, 223201552000 is an apocalyptic number.

23201552000 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 23201552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31652786880).

23201552000 is an abundant number, since it is smaller than the sum of its proper divisors (40104021760).

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

23201552000 is a wasteful number, since it uses less digits than its factorization.

23201552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 23201552000 in words is "twenty-three billion, two hundred one million, five hundred fifty-two thousand".