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22345680222468 = 2232620713339513
BaseRepresentation
bin1010001010010110000100…
…10101001111100100000100
32221010020002212122010020100
411011023002111033210010
510412102423114104333
6115305244102004100
74464264533650431
oct505130225174404
987106085563210
1022345680222468
117135827a31399
12260a8ab116630
13c6125b491135
14573772988b88
1528b3e0a28213
hex1452c254f904

22345680222468 has 18 divisors (see below), whose sum is σ = 56484913895774. Its totient is φ = 7448560074144.

The previous prime is 22345680222449. The next prime is 22345680222469. The reversal of 22345680222468 is 86422208654322.

22345680222468 is a `hidden beast` number, since 2 + 2 + 34 + 56 + 80 + 2 + 22 + 468 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13512373142724 + 8833307079744 = 3675918^2 + 2972088^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×223456802224682 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22345680222469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 310356669721 + ... + 310356669792.

Almost surely, 222345680222468 is an apocalyptic number.

It is an amenable number.

22345680222468 is an abundant number, since it is smaller than the sum of its proper divisors (34139233673306).

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

22345680222468 is a wasteful number, since it uses less digits than its factorization.

22345680222468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620713339523 (or 620713339518 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 22345680222468 in words is "twenty-two trillion, three hundred forty-five billion, six hundred eighty million, two hundred twenty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 620713339513 1241426679026 1862140018539 2482853358052 3724280037078 5586420055617 7448560074156 11172840111234 22345680222468