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2297857342122 = 23522391923071
BaseRepresentation
bin100001011100000010111…
…110000111101010101010
322010200011121222120200000
4201130002332013222222
5300122002434421442
64515342053323430
7325005022065426
oct41340276075252
98120147876600
102297857342122
11806574623551
1231140b936576
131388c14ba884
147d3071ddb86
153eb8c4e9d4c
hex21702f87aaa

2297857342122 has 96 divisors (see below), whose sum is σ = 5192108113920. Its totient is φ = 761654942640.

The previous prime is 2297857342091. The next prime is 2297857342129. The reversal of 2297857342122 is 2212437587922.

2297857342122 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 8 + 573 + 42 + 1 + 22 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2297857342129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99587847 + ... + 99610917.

It is an arithmetic number, because the mean of its divisors is an integer number (54084459520).

Almost surely, 22297857342122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2297857342122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596054056960).

2297857342122 is an abundant number, since it is smaller than the sum of its proper divisors (2894250771798).

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

2297857342122 is a wasteful number, since it uses less digits than its factorization.

2297857342122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24230 (or 24218 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 2297857342122 in words is "two trillion, two hundred ninety-seven billion, eight hundred fifty-seven million, three hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 223 243 446 486 669 919 1338 1838 2007 2757 4014 5514 6021 8271 12042 16542 18063 23071 24813 36126 46142 49626 54189 69213 74439 108378 138426 148878 204937 207639 223317 409874 415278 446634 614811 622917 1229622 1245834 1844433 1868751 3688866 3737502 5144833 5533299 5606253 10289666 11066598 11212506 15434499 16599897 21202249 30868998 33199794 42404498 46303497 49799691 63606747 92606994 99599382 127213494 138910491 190820241 277820982 381640482 416731473 572460723 833462946 1144921446 1250194419 1717382169 2500388838 3434764338 4728101527 5152146507 9456203054 10304293014 14184304581 28368609162 42552913743 85105827486 127658741229 255317482458 382976223687 765952447374 1148928671061 2297857342122