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2202657327112 = 231197376768501
BaseRepresentation
bin100000000011011000100…
…110111000100000001000
321210120102222100201222011
4200003120212320200020
5242042020233431422
64403515314505304
7315064621235314
oct40033046704010
97716388321864
102202657327112
1177a1617021a0
122b6a81595234
1312c92c278948
1478875856b44
153c4698a8077
hex200d89b8808

2202657327112 has 64 divisors (see below), whose sum is σ = 4553158055040. Its totient is φ = 990608640000.

The previous prime is 2202657327097. The next prime is 2202657327113. The reversal of 2202657327112 is 2117237562022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2202657327113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32120862 + ... + 32189362.

It is an arithmetic number, because the mean of its divisors is an integer number (71143094610).

Almost surely, 22202657327112 is an apocalyptic number.

2202657327112 is a gapful number since it is divisible by the number (22) 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 2202657327112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276579027520).

2202657327112 is an abundant number, since it is smaller than the sum of its proper divisors (2350500727928).

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

2202657327112 is a wasteful number, since it uses less digits than its factorization.

2202657327112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72382 (or 72378 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 2202657327112 in words is "two trillion, two hundred two billion, six hundred fifty-seven million, three hundred twenty-seven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 97 194 388 776 1067 2134 3767 4268 7534 8536 15068 30136 41437 68501 82874 137002 165748 274004 331496 365399 548008 730798 753511 1461596 1507022 2923192 3014044 4019389 6028088 6644597 8038778 13289194 16077556 26578388 32155112 53156776 73090567 146181134 258043267 292362268 516086534 584724536 1032173068 2064346136 2838475937 5676951874 11353903748 22707807496 25030196899 50060393798 100120787596 200241575192 275332165889 550664331778 1101328663556 2202657327112