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23298311232 = 263571712589
BaseRepresentation
bin10101101100101100…
…000000010001000000
32020010200212211200000
4111230230000101000
5340203331424412
614411511400000
71453232243430
oct255454002100
966120784600
1023298311232
119976320079
124622683000
132273b183a1
1411b03822c0
159155d84dc
hex56cb00440

23298311232 has 336 divisors, whose sum is σ = 83809514880. Its totient is φ = 6264594432.

The previous prime is 23298311227. The next prime is 23298311251. The reversal of 23298311232 is 23211389232.

It is a happy number.

23298311232 is a `hidden beast` number, since 23 + 2 + 98 + 311 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×232983112322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1844394 + ... + 1856982.

It is an arithmetic number, because the mean of its divisors is an integer number (249433080).

Almost surely, 223298311232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23298311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41904757440).

23298311232 is an abundant number, since it is smaller than the sum of its proper divisors (60511203648).

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

23298311232 is a wasteful number, since it uses less digits than its factorization.

23298311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12640 (or 12618 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 23298311232 in words is "twenty-three billion, two hundred ninety-eight million, three hundred eleven thousand, two hundred thirty-two".