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22040442125 = 5313371033559
BaseRepresentation
bin10100100001101101…
…100111010100001101
32002220000222110122022
4110201231213110031
5330114323122000
614043015055525
71410116444522
oct244155472415
962800873568
1022040442125
119390289429
1243313715a5
132103341b40
1410d12ab149
1588ee6b585
hex521b6750d

22040442125 has 64 divisors (see below), whose sum is σ = 30726958080. Its totient is φ = 15677971200.

The previous prime is 22040442121. The next prime is 22040442133. The reversal of 22040442125 is 52124404022.

It is not a de Polignac number, because 22040442125 - 22 = 22040442121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22040442094 and 22040442103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22040442121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6191096 + ... + 6194654.

It is an arithmetic number, because the mean of its divisors is an integer number (480108720).

Almost surely, 222040442125 is an apocalyptic number.

22040442125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22040442125 is a deficient number, since it is larger than the sum of its proper divisors (8686515955).

22040442125 is a wasteful number, since it uses less digits than its factorization.

22040442125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 22040442125 its reverse (52124404022), we get a palindrome (74164846147).

The spelling of 22040442125 in words is "twenty-two billion, forty million, four hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 5 13 25 37 65 103 125 185 325 481 515 925 1339 1625 2405 2575 3559 3811 4625 6695 12025 12875 17795 19055 33475 46267 49543 60125 88975 95275 131683 167375 231335 247715 366577 444875 476375 658415 1156675 1238575 1711879 1832885 3292075 4765501 5783375 6192875 8559395 9164425 13563349 16460375 23827505 42796975 45822125 67816745 119137525 176323537 213984875 339083725 595687625 881617685 1695418625 4408088425 22040442125