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22125220065 = 345134202321
BaseRepresentation
bin10100100110110001…
…000001000011100001
32010002221111122010000
4110212301001003201
5330303024020230
614055244130213
71412166160524
oct244661010341
963087448100
1022125220065
119424123343
124355836969
132117a85bc0
1410dc658bbb
15897615b60
hex526c410e1

22125220065 has 40 divisors (see below), whose sum is σ = 42712400808. Its totient is φ = 10892413440.

The previous prime is 22125220057. The next prime is 22125220079. The reversal of 22125220065 is 56002252122.

It can be written as a sum of positive squares in 4 ways, for example, as 1451381409 + 20673838656 = 38097^2 + 143784^2 .

It is not a de Polignac number, because 22125220065 - 23 = 22125220057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2095896 + ... + 2106425.

Almost surely, 222125220065 is an apocalyptic number.

It is an amenable number.

22125220065 is a deficient number, since it is larger than the sum of its proper divisors (20587180743).

22125220065 is a wasteful number, since it uses less digits than its factorization.

22125220065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202351 (or 4202342 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 22125220065 its reverse (56002252122), we get a palindrome (78127472187).

The spelling of 22125220065 in words is "twenty-two billion, one hundred twenty-five million, two hundred twenty thousand, sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 4202321 12606963 21011605 37820889 54630173 63034815 113462667 163890519 189104445 273150865 340388001 491671557 567313335 819452595 1475014671 1701940005 2458357785 4425044013 7375073355 22125220065