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22142314944 = 2632315472267
BaseRepresentation
bin10100100111110010…
…001110100111000000
32010011010200010212200
4110213302032213000
5330321413034234
614101054353200
71412464400031
oct244762164700
963133603780
1022142314944
119432839a42
12435b4bb800
13211b48cc09
141100a28a88
15898d90d99
hex527c8e9c0

22142314944 has 168 divisors, whose sum is σ = 65662990848. Its totient is φ = 7126479360.

The previous prime is 22142314939. The next prime is 22142314967. The reversal of 22142314944 is 44941324122.

22142314944 is a `hidden beast` number, since 22 + 142 + 3 + 1 + 494 + 4 = 666.

It is a super-2 number, since 2×221423149442 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22142314899 and 22142314908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9766099 + ... + 9768365.

It is an arithmetic number, because the mean of its divisors is an integer number (390851136).

Almost surely, 222142314944 is an apocalyptic number.

22142314944 is a gapful number since it is divisible by the number (24) 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 22142314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32831495424).

22142314944 is an abundant number, since it is smaller than the sum of its proper divisors (43520675904).

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

22142314944 is a wasteful number, since it uses less digits than its factorization.

22142314944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2850 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 22142314944 in words is "twenty-two billion, one hundred forty-two million, three hundred fourteen thousand, nine hundred forty-four".