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2200001000022 = 232743421964499
BaseRepresentation
bin100000000000111010010…
…001110011001001010110
321210022120212000100020100
4200000322101303021112
5242021100224000042
64402355544314530
7314642034645420
oct40007221631126
97708525010210
102200001000022
11779019235351
122b645ba72a46
1312c5c7b43777
14786a2b51810
153c36159d24c
hex2003a473256

2200001000022 has 96 divisors (see below), whose sum is σ = 5587556832000. Its totient is φ = 612494809920.

The previous prime is 2200000999997. The next prime is 2200001000053.

2200001000022 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2200000999968 and 2200001000013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1798729 + ... + 2763227.

It is an arithmetic number, because the mean of its divisors is an integer number (58203717000).

Almost surely, 22200001000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200001000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793778416000).

2200001000022 is an abundant number, since it is smaller than the sum of its proper divisors (3387555831978).

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

2200001000022 is a wasteful number, since it uses less digits than its factorization.

2200001000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964978 (or 964975 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The spelling of 2200001000022 in words is "two trillion, two hundred billion, one million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 421 602 774 842 903 1263 1806 2526 2709 2947 3789 5418 5894 7578 8841 17682 18103 26523 36206 53046 54309 108618 126721 162927 253442 325854 380163 760326 964499 1140489 1928998 2280978 2893497 5786994 6751493 8680491 13502986 17360982 20254479 40508958 41473457 60763437 82946914 121526874 124420371 248840742 290314199 373261113 406054079 580628398 746522226 812108158 870942597 1218162237 1741885194 2436324474 2612827791 2842378553 3654486711 5225655582 5684757106 7308973422 8527135659 17054271318 17460325397 25581406977 34920650794 51162813954 52380976191 104761952382 122222277779 157142928573 244444555558 314285857146 366666833337 733333666674 1100000500011 2200001000022