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22159495362420 = 2236513269613709
BaseRepresentation
bin1010000100111011010001…
…10110010111011101110100
32220110102112022222021000000
411002131220312113131310
510401030121303044140
6115043533122151300
74444653644522403
oct502355066273564
986412468867000
1022159495362420
117073875487329
12259a7aa1b2530
13c49829397ab0
1456874d5bd63a
1528664536da30
hex142768d97774

22159495362420 has 672 divisors, whose sum is σ = 75646348999200. Its totient is φ = 5417849991168.

The previous prime is 22159495362409. The next prime is 22159495362481. The reversal of 22159495362420 is 2426359495122.

22159495362420 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 9 + 4 + 9 + 5 + 3 + 624 + 2 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 22021508373264 + 137986989156 = 4692708^2 + 371466^2 .

It is a super-2 number, since 2×221594953624202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 31254577026 + ... + 31254577734.

It is an arithmetic number, because the mean of its divisors is an integer number (112568971725).

Almost surely, 222159495362420 is an apocalyptic number.

22159495362420 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 22159495362420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37823174499600).

22159495362420 is an abundant number, since it is smaller than the sum of its proper divisors (53486853636780).

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

22159495362420 is a wasteful number, since it uses less digits than its factorization.

22159495362420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 22159495362420 in words is "twenty-two trillion, one hundred fifty-nine billion, four hundred ninety-five million, three hundred sixty-two thousand, four hundred twenty".