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22202010012 = 223713132115391
BaseRepresentation
bin10100101011010101…
…111100100110011100
32010022021222222010010
4110223111330212130
5330432203310022
614111030043220
71414120654110
oct245325744634
963267888103
1022202010012
119463501806
1243774a9510
13212a961140
141108927740
1589e23350c
hex52b57c99c

22202010012 has 96 divisors (see below), whose sum is σ = 63812030464. Its totient is φ = 5850662400.

The previous prime is 22202010011. The next prime is 22202010023. The reversal of 22202010012 is 21001020222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 22202010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202010011) 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, 1434837 + ... + 1450227.

Almost surely, 222202010012 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 22202010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31906015232).

22202010012 is an abundant number, since it is smaller than the sum of its proper divisors (41610020452).

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

22202010012 is a wasteful number, since it uses less digits than its factorization.

22202010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16739 (or 16737 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22202010012 its reverse (21001020222), we get a palindrome (43203030234).

The spelling of 22202010012 in words is "twenty-two billion, two hundred two million, ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1321 2642 3963 5284 7926 9247 15391 15852 17173 18494 27741 30782 34346 36988 46173 51519 55482 61564 68692 92346 103038 107737 110964 120211 184692 200083 206076 215474 240422 323211 360633 400166 430948 480844 600249 646422 721266 800332 1200498 1292844 1400581 1442532 2400996 2801162 4201743 5602324 8403486 16806972 20331511 40663022 60994533 81326044 121989066 142320577 243978132 264309643 284641154 426961731 528619286 569282308 792928929 853923462 1057238572 1585857858 1707846924 1850167501 3171715716 3700335002 5550502503 7400670004 11101005006 22202010012