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22145234552541 = 3219971232139017
BaseRepresentation
bin1010000100100000101101…
…10101101100011011011101
32220102001201110202001112100
411002100112311230123131
510400311420021140131
6115033214051355313
74443640361610252
oct502202665543335
986361643661470
1022145234552541
117068817641841
122597a8a2b2b39
13c48395a30159
14567b99615429
152860ad3bd7e6
hex142416d6c6dd

22145234552541 has 12 divisors (see below), whose sum is σ = 32003578853532. Its totient is φ = 14756096855616.

The previous prime is 22145234552473. The next prime is 22145234552543. The reversal of 22145234552541 is 14525543254122.

22145234552541 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 52 + 3 + 4 + 5 + 52 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200834837316 + 21944399715225 = 448146^2 + 4684485^2 .

It is not a de Polignac number, because 22145234552541 - 235 = 22110874814173 is a prime.

It is a super-2 number, since 2×221452345525412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22145234552543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616051536 + ... + 616087481.

It is an arithmetic number, because the mean of its divisors is an integer number (2666964904461).

Almost surely, 222145234552541 is an apocalyptic number.

It is an amenable number.

22145234552541 is a deficient number, since it is larger than the sum of its proper divisors (9858344300991).

22145234552541 is a wasteful number, since it uses less digits than its factorization.

22145234552541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232141020 (or 1232141017 counting only the distinct ones).

The product of its digits is 1920000, while the sum is 45.

The spelling of 22145234552541 in words is "twenty-two trillion, one hundred forty-five billion, two hundred thirty-four million, five hundred fifty-two thousand, five hundred forty-one".

Divisors: 1 3 9 1997 5991 17973 1232139017 3696417051 11089251153 2460581616949 7381744850847 22145234552541