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10223044992 = 27351033191
BaseRepresentation
bin10011000010101011…
…10100100110000000
3222101110110111100000
421201111310212000
5131414044414432
64410231200000
7511223306616
oct114125644600
928343414300
1010223044992
114376708016
121b93816000
13c6bc82b64
146cda236b6
153ec76a57c
hex261574980

10223044992 has 192 divisors, whose sum is σ = 30813269760. Its totient is φ = 3373539840.

The previous prime is 10223044813. The next prime is 10223045003. The reversal of 10223044992 is 29944032201.

10223044992 is a `hidden beast` number, since 102 + 23 + 0 + 449 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 3202117 + ... + 3205307.

It is an arithmetic number, because the mean of its divisors is an integer number (160485780).

Almost surely, 210223044992 is an apocalyptic number.

10223044992 is a gapful number since it is divisible by the number (12) 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 10223044992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15406634880).

10223044992 is an abundant number, since it is smaller than the sum of its proper divisors (20590224768).

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

10223044992 is an equidigital number, since it uses as much as digits as its factorization.

10223044992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323 (or 3299 counting only the distinct ones).

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

The spelling of 10223044992 in words is "ten billion, two hundred twenty-three million, forty-four thousand, nine hundred ninety-two".