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23321900160 = 27335131731197
BaseRepresentation
bin10101101110000101…
…111111010010000000
32020012100021021121000
4111232011333102000
5340230401301120
614414113132000
71453636611006
oct255605772200
966170237530
1023321900160
119988671859
12462a55a000
132278987230
1411b3562a76
159176e7990
hex56e17f480

23321900160 has 1024 divisors, whose sum is σ = 97716326400. Its totient is φ = 5202247680.

The previous prime is 23321900149. The next prime is 23321900201. The reversal of 23321900160 is 6100912332.

It is a super-2 number, since 2×233219001602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 118385182 + ... + 118385378.

It is an arithmetic number, because the mean of its divisors is an integer number (95426100).

Almost surely, 223321900160 is an apocalyptic number.

23321900160 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 23321900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48858163200).

23321900160 is an abundant number, since it is smaller than the sum of its proper divisors (74394426240).

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

23321900160 is a wasteful number, since it uses less digits than its factorization.

23321900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 23321900160 in words is "twenty-three billion, three hundred twenty-one million, nine hundred thousand, one hundred sixty".