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22140402138 = 23624416221
BaseRepresentation
bin10100100111101010…
…111011100111011010
32010011000001222000000
4110213222323213122
5330320420332023
614100545353430
71412442212241
oct244752734732
963130058000
1022140402138
119431752908
12435a938876
13211ac7038a
14110068b958
15898b14243
hex527abb9da

22140402138 has 56 divisors (see below), whose sum is σ = 49821532596. Its totient is φ = 7375924800.

The previous prime is 22140402133. The next prime is 22140402143. The reversal of 22140402138 is 83120404122.

22140402138 is a `hidden beast` number, since 221 + 4 + 0 + 402 + 1 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (22140402133) and next prime (22140402143).

It can be written as a sum of positive squares in 2 ways, for example, as 16510451049 + 5629951089 = 128493^2 + 75033^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22140402133) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3555868 + ... + 3562088.

Almost surely, 222140402138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22140402138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24910766298).

22140402138 is an abundant number, since it is smaller than the sum of its proper divisors (27681130458).

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

22140402138 is an equidigital number, since it uses as much as digits as its factorization.

22140402138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 8667 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 22140402138 in words is "twenty-two billion, one hundred forty million, four hundred two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2441 4882 6221 7323 12442 14646 18663 21969 37326 43938 55989 65907 111978 131814 167967 197721 335934 395442 503901 593163 1007802 1186326 1511703 1779489 3023406 3558978 4535109 9070218 15185461 30370922 45556383 91112766 136669149 273338298 410007447 820014894 1230022341 2460044682 3690067023 7380134046 11070201069 22140402138