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23304189888 = 26357253577
BaseRepresentation
bin10101101101000010…
…011011011111000000
32020011002221111200000
4111231002123133000
5340211333034023
614412241400000
71453333226400
oct255502333700
966132844600
1023304189888
119979675871
124624639000
1322750c6095
1411b1072800
15915d9a243
hex56d09b7c0

23304189888 has 504 divisors, whose sum is σ = 82243495152. Its totient is φ = 6521389056.

The previous prime is 23304189859. The next prime is 23304189889. The reversal of 23304189888 is 88898140332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×233041898882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23304189889) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 40388256 + ... + 40388832.

It is an arithmetic number, because the mean of its divisors is an integer number (163181538).

Almost surely, 223304189888 is an apocalyptic number.

23304189888 is a gapful number since it is divisible by the number (28) 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 23304189888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41121747576).

23304189888 is an abundant number, since it is smaller than the sum of its proper divisors (58939305264).

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

23304189888 is an equidigital number, since it uses as much as digits as its factorization.

23304189888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 23304189888 in words is "twenty-three billion, three hundred four million, one hundred eighty-nine thousand, eight hundred eighty-eight".