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23092218240 = 2735721379239
BaseRepresentation
bin10101100000011001…
…110100100110000000
32012121100002020020020
4111200121310212000
5334243101440430
614335230213440
71445150421300
oct254031644600
965540066206
1023092218240
11987aa56393
124585654280
132240209980
141190c55600
15902478b10
hex560674980

23092218240 has 768 divisors, whose sum is σ = 93768192000. Its totient is φ = 4790403072.

The previous prime is 23092218239. The next prime is 23092218283. The reversal of 23092218240 is 4281229032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96620041 + ... + 96620279.

It is an arithmetic number, because the mean of its divisors is an integer number (122094000).

Almost surely, 223092218240 is an apocalyptic number.

23092218240 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 23092218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46884096000).

23092218240 is an abundant number, since it is smaller than the sum of its proper divisors (70675973760).

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

23092218240 is a wasteful number, since it uses less digits than its factorization.

23092218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 23092218240 in words is "twenty-three billion, ninety-two million, two hundred eighteen thousand, two hundred forty".