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22144332145 = 5133131335111
BaseRepresentation
bin10100100111111001…
…111011000101110001
32010011021110121221211
4110213321323011301
5330322422112040
614101205520121
71412520501055
oct244771730561
963137417854
1022144332145
119433997551
124360113041
13211ba18120
141100dd1c65
1589913d8ea
hex527e7b171

22144332145 has 32 divisors (see below), whose sum is σ = 29635651584. Its totient is φ = 15774220800.

The previous prime is 22144332139. The next prime is 22144332163. The reversal of 22144332145 is 54123344122.

It is not a de Polignac number, because 22144332145 - 227 = 22010114417 is a prime.

It is a super-2 number, since 2×221443321452 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613140 + ... + 648250.

It is an arithmetic number, because the mean of its divisors is an integer number (926114112).

Almost surely, 222144332145 is an apocalyptic number.

It is an amenable number.

22144332145 is a deficient number, since it is larger than the sum of its proper divisors (7491319439).

22144332145 is a wasteful number, since it uses less digits than its factorization.

22144332145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35473.

The product of its digits is 23040, while the sum is 31.

Adding to 22144332145 its reverse (54123344122), we get a palindrome (76267676267).

The spelling of 22144332145 in words is "twenty-two billion, one hundred forty-four million, three hundred thirty-two thousand, one hundred forty-five".

Divisors: 1 5 13 31 65 155 313 403 1565 2015 4069 9703 20345 35111 48515 126139 175555 456443 630695 1088441 2282215 5442205 10989743 14149733 54948715 70748665 142866659 340682033 714333295 1703410165 4428866429 22144332145