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22114250496 = 2832132347683
BaseRepresentation
bin10100100110000111…
…001010111100000000
32010002011212022200200
4110212013022330000
5330242222003441
614054213045200
71412004012342
oct244607127400
963064768620
1022114250496
119418a10788
124352026800
132115714c30
1410db001292
1589669a7b6
hex5261caf00

22114250496 has 432 divisors, whose sum is σ = 73282599936. Its totient is φ = 6360735744.

The previous prime is 22114250479. The next prime is 22114250549. The reversal of 22114250496 is 69405241122.

It is a happy number.

22114250496 is a `hidden beast` number, since 2 + 2 + 1 + 142 + 504 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22114250496.

It is a congruent number.

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, 32377771 + ... + 32378453.

It is an arithmetic number, because the mean of its divisors is an integer number (169635648).

Almost surely, 222114250496 is an apocalyptic number.

22114250496 is a gapful number since it is divisible by the number (26) 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 22114250496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36641299968).

22114250496 is an abundant number, since it is smaller than the sum of its proper divisors (51168349440).

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

22114250496 is a wasteful number, since it uses less digits than its factorization.

22114250496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22114250496 in words is "twenty-two billion, one hundred fourteen million, two hundred fifty thousand, four hundred ninety-six".