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23191225344 = 21034759677
BaseRepresentation
bin10101100110010011…
…100000010000000000
32012212020101022110000
4111212103200100000
5334443423202334
614353124240000
71450462106610
oct254623402000
965766338400
1023191225344
119920929941
1245b2840000
132257893561
1411a0068a40
1590aed4299
hex5664e0400

23191225344 has 440 divisors, whose sum is σ = 80607257280. Its totient is φ = 6504136704.

The previous prime is 23191225339. The next prime is 23191225349. The reversal of 23191225344 is 44352219132.

23191225344 is a `hidden beast` number, since 2 + 3 + 1 + 91 + 225 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (23191225339) and next prime (23191225349).

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

It is a junction number, because it is equal to n+sod(n) for n = 23191225299 and 23191225308.

It is not an unprimeable number, because it can be changed into a prime (23191225349) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 34255534 + ... + 34256210.

It is an arithmetic number, because the mean of its divisors is an integer number (183198312).

Almost surely, 223191225344 is an apocalyptic number.

23191225344 is a gapful number since it is divisible by the number (24) 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 23191225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40303628640).

23191225344 is an abundant number, since it is smaller than the sum of its proper divisors (57416031936).

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

23191225344 is an equidigital number, since it uses as much as digits as its factorization.

23191225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 748 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 23191225344 in words is "twenty-three billion, one hundred ninety-one million, two hundred twenty-five thousand, three hundred forty-four".