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22155387088 = 24171094611621
BaseRepresentation
bin10100101000100100…
…000110000011010000
32010012001021021111011
4110220210012003100
5330333234341323
614102242500304
71413013453162
oct245044060320
963161237434
1022155387088
11943a15826a
124363964694
1321210b8c03
14110266c932
1589a0c420d
hex5289060d0

22155387088 has 80 divisors (see below), whose sum is σ = 45995962320. Its totient is φ = 10301644800.

The previous prime is 22155387083. The next prime is 22155387091. The reversal of 22155387088 is 88078355122.

It can be written as a sum of positive squares in 8 ways, for example, as 1920893584 + 20234493504 = 43828^2 + 142248^2 .

It is a super-2 number, since 2×221553870882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22155387083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13666918 + ... + 13668538.

It is an arithmetic number, because the mean of its divisors is an integer number (574949529).

Almost surely, 222155387088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22155387088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22997981160).

22155387088 is an abundant number, since it is smaller than the sum of its proper divisors (23840575232).

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

22155387088 is a wasteful number, since it uses less digits than its factorization.

22155387088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 22155387088 in words is "twenty-two billion, one hundred fifty-five million, three hundred eighty-seven thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 436 461 872 922 1621 1744 1844 1853 3242 3688 3706 6484 7376 7412 7837 12968 14824 15674 25936 27557 29648 31348 50249 55114 62696 100498 110228 125392 176689 200996 220456 353378 401992 440912 706756 747281 803984 854233 1413512 1494562 1708466 2827024 2989124 3003713 3416932 5978248 6007426 6833864 11956496 12014852 12703777 13667728 24029704 25407554 48059408 50815108 81453629 101630216 162907258 203260432 325814516 651629032 1303258064 1384711693 2769423386 5538846772 11077693544 22155387088