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22145004200 = 23521110065911
BaseRepresentation
bin10100100111111100…
…011111001010101000
32010011022201202211202
4110213330133022220
5330323110113300
614101232143332
71412526300314
oct244774371250
963138652752
1022145004200
119434306470
124360397b48
13211bbc1ca7
141101128b44
15899222ad5
hex527f1f2a8

22145004200 has 48 divisors (see below), whose sum is σ = 56167788960. Its totient is φ = 8052728000.

The previous prime is 22145004179. The next prime is 22145004221. The reversal of 22145004200 is 240054122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22145004179) and next prime (22145004221).

It is a super-2 number, since 2×221450042002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 5030756 + ... + 5035155.

It is an arithmetic number, because the mean of its divisors is an integer number (1170162270).

Almost surely, 222145004200 is an apocalyptic number.

22145004200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22145004200 is an abundant number, since it is smaller than the sum of its proper divisors (34022784760).

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

22145004200 is a wasteful number, since it uses less digits than its factorization.

22145004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10065938 (or 10065929 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 22145004200 its reverse (240054122), we get a palindrome (22385058322).

The spelling of 22145004200 in words is "twenty-two billion, one hundred forty-five million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 10065911 20131822 40263644 50329555 80527288 100659110 110725021 201318220 221450042 251647775 402636440 442900084 503295550 553625105 885800168 1006591100 1107250210 2013182200 2214500420 2768125525 4429000840 5536251050 11072502100 22145004200