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2252331758196 = 22361359415737
BaseRepresentation
bin100000110001101001011…
…011110011001001110100
321222022122212120022000000
4200301221123303021310
5243400233412230241
64442412410151300
7321503611026462
oct40615133631164
97868585508000
102252331758196
11799232617523
12304625422530
13134517737730
147b028c39832
153d8c588ceb6
hex20c696f3274

2252331758196 has 84 divisors (see below), whose sum is σ = 6364257360132. Its totient is φ = 693025144704.

The previous prime is 2252331758167. The next prime is 2252331758213. The reversal of 2252331758196 is 6918571332522.

2252331758196 is a `hidden beast` number, since 2 + 2 + 5 + 23 + 31 + 7 + 581 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1342284444900 + 910047313296 = 1158570^2 + 953964^2 .

It is a super-2 number, since 2×22523317581962 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29669961 + ... + 29745776.

It is an arithmetic number, because the mean of its divisors is an integer number (75764968573).

Almost surely, 22252331758196 is an apocalyptic number.

2252331758196 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2252331758196 is an abundant number, since it is smaller than the sum of its proper divisors (4111925601936).

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

2252331758196 is a wasteful number, since it uses less digits than its factorization.

2252331758196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59415772 (or 59415755 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 2252331758196 in words is "two trillion, two hundred fifty-two billion, three hundred thirty-one million, seven hundred fifty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2106 2916 3159 4212 6318 9477 12636 18954 37908 59415737 118831474 178247211 237662948 356494422 534741633 712988844 772404581 1069483266 1544809162 1604224899 2138966532 2317213743 3089618324 3208449798 4634427486 4812674697 6416899596 6951641229 9268854972 9625349394 13903282458 14438024091 19250698788 20854923687 27806564916 28876048182 41709847374 43314072273 57752096364 62564771061 83419694748 86628144546 125129542122 173256289092 187694313183 250259084244 375388626366 563082939549 750777252732 1126165879098 2252331758196