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92256000000 = 211356312
BaseRepresentation
bin101010111101011100…
…0101101100000000000
322211010110221101022220
41111322320231200000
53002420014000000
6110214250131040
76444122030013
oct1257270554000
9284113841286
1092256000000
113614211a2aa
1215a68420a80
138913330018
14467279537a
1525ee45b1a0
hex157ae2d800

92256000000 has 504 divisors, whose sum is σ = 317678355540. Its totient is φ = 23808000000.

The previous prime is 92255999987. The next prime is 92256000007. The reversal of 92256000000 is 65229.

It is a super-2 number, since 2×922560000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92256000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2975999985 + ... + 2976000015.

Almost surely, 292256000000 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 92256000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158839177770).

92256000000 is an abundant number, since it is smaller than the sum of its proper divisors (225422355540).

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

92256000000 is an frugal number, since it uses more digits than its factorization.

92256000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Multiplying 92256000000 by its sum of digits (24), we get a square (2214144000000 = 14880002).

92256000000 divided by its sum of digits (24) gives a square (3844000000 = 620002).

Adding to 92256000000 its reverse (65229), we get a palindrome (92256065229).

The spelling of 92256000000 in words is "ninety-two billion, two hundred fifty-six million", and thus it is an aban number.