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23222257920 = 2832583149163
BaseRepresentation
bin10101101000001001…
…111000100100000000
32012221101202221010200
4111220021320210000
5340024344223140
614400153325200
71451316635601
oct255011704400
965841687120
1023222257920
1199373a50a4
124601106800
13226113a524
1411a4225da8
1590dab4030
hex568278900

23222257920 has 432 divisors, whose sum is σ = 82362571200. Its totient is φ = 6039650304.

The previous prime is 23222257913. The next prime is 23222257963. The reversal of 23222257920 is 2975222232.

It is a happy number.

23222257920 is a `hidden beast` number, since 23 + 22 + 22 + 579 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142467759 + ... + 142467921.

It is an arithmetic number, because the mean of its divisors is an integer number (190654100).

Almost surely, 223222257920 is an apocalyptic number.

23222257920 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 23222257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41181285600).

23222257920 is an abundant number, since it is smaller than the sum of its proper divisors (59140313280).

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

23222257920 is a wasteful number, since it uses less digits than its factorization.

23222257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 23222257920 in words is "twenty-three billion, two hundred twenty-two million, two hundred fifty-seven thousand, nine hundred twenty".