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22425212214153 = 337449632638879
BaseRepresentation
bin1010001100101010001101…
…10011101101101110001001
32221101211101121002220112000
411012111012303231232021
510414403313311323103
6115410000020341213
74503111443510340
oct506250663555611
987354347086460
1022425212214153
11716652a741941
1226221a6244809
13c688c4662548
145775594d8b57
1528d4e7d9caa3
hex146546cedb89

22425212214153 has 32 divisors (see below), whose sum is σ = 37969472102400. Its totient is φ = 12814117124688.

The previous prime is 22425212214149. The next prime is 22425212214161. The reversal of 22425212214153 is 35141221252422.

22425212214153 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 5 + 212 + 21 + 415 + 3 = 666.

It is not a de Polignac number, because 22425212214153 - 22 = 22425212214149 is a prime.

It is a super-4 number, since 4×224252122141534 (a number of 55 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (22425212214103) 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 31 ways as a sum of consecutive naturals, for example, 7178568 + ... + 9817446.

It is an arithmetic number, because the mean of its divisors is an integer number (1186546003200).

Almost surely, 222425212214153 is an apocalyptic number.

It is an amenable number.

22425212214153 is a deficient number, since it is larger than the sum of its proper divisors (15544259888247).

22425212214153 is a wasteful number, since it uses less digits than its factorization.

22425212214153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683858 (or 2683852 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 22425212214153 its reverse (35141221252422), we get a palindrome (57566433466575).

The spelling of 22425212214153 in words is "twenty-two trillion, four hundred twenty-five billion, two hundred twelve million, two hundred fourteen thousand, one hundred fifty-three".

Divisors: 1 3 7 9 21 27 63 189 44963 134889 314741 404667 944223 1214001 2638879 2832669 7916637 8498007 18472153 23749911 55416459 71249733 166249377 498748131 118651916477 355955749431 830563415339 1067867248293 2491690246017 3203601744879 7475070738051 22425212214153