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2265516900168 = 2333122787133631
BaseRepresentation
bin100000111101111011010…
…101000111111101001000
322000120200202201220111120
4200331323111013331020
5244104234311301133
64452433013355240
7322451422626564
oct40757325077510
98016622656446
102265516900168
117a3889256875
123070a5038b20
131358392908a2
147b919dda6a4
153dde81b1ab3
hex20f7b547f48

2265516900168 has 64 divisors (see below), whose sum is σ = 5846795550720. Its totient is φ = 730774363200.

The previous prime is 2265516900161. The next prime is 2265516900197. The reversal of 2265516900168 is 8610096155622.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2265516900168.

It is not an unprimeable number, because it can be changed into a prime (2265516900161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16886713 + ... + 17020343.

It is an arithmetic number, because the mean of its divisors is an integer number (91356180480).

Almost surely, 22265516900168 is an apocalyptic number.

It is an amenable number.

2265516900168 is an abundant number, since it is smaller than the sum of its proper divisors (3581278650552).

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

2265516900168 is a wasteful number, since it uses less digits than its factorization.

2265516900168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156458 (or 156454 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 2265516900168 in words is "two trillion, two hundred sixty-five billion, five hundred sixteen million, nine hundred thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 22787 45574 68361 91148 133631 136722 182296 267262 273444 400893 534524 546888 706397 801786 1069048 1412794 1603572 2119191 2825588 3207144 4142561 4238382 5651176 8285122 8476764 12427683 16570244 16953528 24855366 33140488 49710732 99421464 3045049597 6090099194 9135148791 12180198388 18270297582 24360396776 36540595164 73081190328 94396537507 188793075014 283189612521 377586150028 566379225042 755172300056 1132758450084 2265516900168