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22327146475921 = 7297269592
BaseRepresentation
bin1010001001110011100011…
…01000100111000110010001
32221001110021020010020121001
411010321301220213012101
510411301443444212141
6115252541031302001
74463040334500100
oct504716150470621
987043236106531
1022327146475921
117128987133291
12260719821a901
13c5c5967c13c1
145728d5300037
1528aba888ca31
hex144e71a27191

22327146475921 has 27 divisors (see below), whose sum is σ = 26246683523259. Its totient is φ = 18937538057088.

The previous prime is 22327146475889. The next prime is 22327146475957. The reversal of 22327146475921 is 12957464172322.

The square root of 22327146475921 is 4725161.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10025740659025 + 12301405816896 = 3166345^2 + 3507336^2 .

It is not a de Polignac number, because 22327146475921 - 25 = 22327146475889 is a prime.

It is a super-3 number, since 3×223271464759213 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22327146475721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3208380840 + ... + 3208387798.

Almost surely, 222327146475921 is an apocalyptic number.

22327146475921 is the 4725161-st square number.

22327146475921 is the 2362581-st centered octagonal number.

It is an amenable number.

22327146475921 is a deficient number, since it is larger than the sum of its proper divisors (3919537047338).

22327146475921 is an frugal number, since it uses more digits than its factorization.

22327146475921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14126 (or 7063 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 55.

The spelling of 22327146475921 in words is "twenty-two trillion, three hundred twenty-seven billion, one hundred forty-six million, four hundred seventy-five thousand, nine hundred twenty-one".

Divisors: 1 7 49 97 679 4753 6959 9409 48713 65863 340991 461041 675023 4725161 33076127 48427681 65477231 338993767 458340617 2372956369 3208384319 4697485057 32882395399 230176767793 455656050529 3189592353703 22327146475921