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422212652172 = 22334229924421
BaseRepresentation
bin1100010010011011101…
…01011100110010001100
31111100210201121000102000
412021031311130302030
523404142414332142
6521543430232300
742334552220613
oct6111565346214
91440721530360
10422212652172
11153072042783
12699b21b5690
1330a785573cc
141661429a87a
15aeb1a3014c
hex624dd5cc8c

422212652172 has 48 divisors (see below), whose sum is σ = 1094885416800. Its totient is φ = 140704119360.

The previous prime is 422212652167. The next prime is 422212652179. The reversal of 422212652172 is 271256212224.

422212652172 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 126 + 521 + 7 + 2 = 666.

It is a super-2 number, since 2×4222126521722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (422212652179) 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 15 ways as a sum of consecutive naturals, for example, 5479 + ... + 918942.

It is an arithmetic number, because the mean of its divisors is an integer number (22810112850).

Almost surely, 2422212652172 is an apocalyptic number.

It is an amenable number.

422212652172 is an abundant number, since it is smaller than the sum of its proper divisors (672672764628).

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

422212652172 is a wasteful number, since it uses less digits than its factorization.

422212652172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928663 (or 928655 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

Adding to 422212652172 its reverse (271256212224), we get a palindrome (693468864396).

The spelling of 422212652172 in words is "four hundred twenty-two billion, two hundred twelve million, six hundred fifty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 4229 8458 12687 16916 25374 38061 50748 76122 114183 152244 228366 456732 924421 1848842 2773263 3697684 5546526 8319789 11093052 16639578 24959367 33279156 49918734 99837468 3909376409 7818752818 11728129227 15637505636 23456258454 35184387681 46912516908 70368775362 105553163043 140737550724 211106326086 422212652172