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22027104090 = 2335214338069
BaseRepresentation
bin10100100000111010…
…101110111101011010
32002212002212211022000
4110200322232331122
5330102414312330
614041421141430
71406565203235
oct244072567532
962762784260
1022027104090
1193837a9362
1243289ba876
132100651b04
1410cd5d841c
1588dbd4560
hex520eaef5a

22027104090 has 64 divisors (see below), whose sum is σ = 58767897600. Its totient is φ = 5870999232.

The previous prime is 22027104041. The next prime is 22027104091. The reversal of 22027104090 is 9040172022.

22027104090 is a `hidden beast` number, since 220 + 27 + 10 + 409 + 0 = 666.

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 (22027104091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 559576 + ... + 597644.

It is an arithmetic number, because the mean of its divisors is an integer number (918248400).

Almost surely, 222027104090 is an apocalyptic number.

22027104090 is an abundant number, since it is smaller than the sum of its proper divisors (36740793510).

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

22027104090 is a wasteful number, since it uses less digits than its factorization.

22027104090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40228 (or 40222 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 22027104090 in words is "twenty-two billion, twenty-seven million, one hundred four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 2143 4286 6429 10715 12858 19287 21430 32145 38069 38574 57861 64290 76138 96435 114207 115722 190345 192870 228414 289305 342621 380690 571035 578610 685242 1027863 1142070 1713105 2055726 3426210 5139315 10278630 81581867 163163734 244745601 407909335 489491202 734236803 815818670 1223728005 1468473606 2202710409 2447456010 3671184015 4405420818 7342368030 11013552045 22027104090