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22157230050 = 2345223392
BaseRepresentation
bin10100101000101011…
…000111111111100010
32010012011201220120000
4110220223013333202
5330334222330200
614102350200430
71413035230224
oct245053077742
963164656500
1022157230050
1194401a697a
1243644b3116
1321215b2a17
1411029cc414
1589a33a300
hex528ac7fe2

22157230050 has 90 divisors (see below), whose sum is σ = 61590606033. Its totient is φ = 5906068560.

The previous prime is 22157230031. The next prime is 22157230063. The reversal of 22157230050 is 5003275122.

It can be written as a sum of positive squares in 2 ways, for example, as 21714085449 + 443144601 = 147357^2 + 21051^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105255.

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 a junction number, because it is equal to n+sod(n) for n = 22157229996 and 22157230023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9471781 + ... + 9474119.

Almost surely, 222157230050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22157230050

22157230050 is an abundant number, since it is smaller than the sum of its proper divisors (39433375983).

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

22157230050 is an frugal number, since it uses more digits than its factorization.

22157230050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 22157230050 in words is "twenty-two billion, one hundred fifty-seven million, two hundred thirty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 2339 4050 4678 7017 11695 14034 21051 23390 35085 42102 58475 63153 70170 105255 116950 126306 175425 189459 210510 315765 350850 378918 526275 631530 947295 1052550 1578825 1894590 3157650 4736475 5470921 9472950 10941842 16412763 27354605 32825526 49238289 54709210 82063815 98476578 136773025 147714867 164127630 246191445 273546050 295429734 410319075 443144601 492382890 738574335 820638150 886289202 1230957225 1477148670 2215723005 2461914450 3692871675 4431446010 7385743350 11078615025 22157230050