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22046640220 = 225111572512543
BaseRepresentation
bin10100100010000101…
…010000100001011100
32002220110122100211101
4110202011100201130
5330122414441340
614043400002444
71410223231003
oct244205204134
962813570741
1022046640220
119393832120
124333460424
132104702057
1410d2041c3a
15890792c9a
hex52215085c

22046640220 has 96 divisors (see below), whose sum is σ = 51051119616. Its totient is φ = 7931040000.

The previous prime is 22046640211. The next prime is 22046640223. The reversal of 22046640220 is 2204664022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22046640223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8668269 + ... + 8670811.

It is an arithmetic number, because the mean of its divisors is an integer number (531782496).

Almost surely, 222046640220 is an apocalyptic number.

22046640220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22046640220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25525559808).

22046640220 is an abundant number, since it is smaller than the sum of its proper divisors (29004479396).

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

22046640220 is a wasteful number, since it uses less digits than its factorization.

22046640220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 22046 and 640220, that added together give a palindrome (662266).

The spelling of 22046640220 in words is "twenty-two billion, forty-six million, six hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 251 314 502 628 785 1004 1255 1570 1727 2510 2543 2761 3140 3454 5020 5086 5522 6908 8635 10172 11044 12715 13805 17270 25430 27610 27973 34540 39407 50860 55220 55946 78814 111892 139865 157628 197035 279730 394070 399251 433477 559460 638293 788140 798502 866954 1276586 1597004 1733908 1996255 2167385 2553172 3191465 3992510 4334770 4391761 6382930 7021223 7985020 8669540 8783522 12765860 14042446 17567044 21958805 28084892 35106115 43917610 70212230 87835220 100212001 140424460 200424002 400848004 501060005 1002120010 1102332011 2004240020 2204664022 4409328044 5511660055 11023320110 22046640220