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22142432331 = 3213169127179
BaseRepresentation
bin10100100111110010…
…101011010001001011
32010011010220002220100
4110213302223101023
5330321430313311
614101101100443
71412465366205
oct244762532113
963133802810
1022142432331
11943290a158
12435b557723
13211b501486
141100a59775
15898db5a56
hex527cab44b

22142432331 has 24 divisors (see below), whose sum is σ = 32275488960. Its totient is φ = 14627199600.

The previous prime is 22142432297. The next prime is 22142432353. The reversal of 22142432331 is 13323424122.

22142432331 is a `hidden beast` number, since 2 + 2 + 1 + 424 + 3 + 233 + 1 = 666.

It is not a de Polignac number, because 22142432331 - 215 = 22142399563 is a prime.

It is a super-2 number, since 2×221424323312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22142432295 and 22142432304.

It is not an unprimeable number, because it can be changed into a prime (22142432381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 801100 + ... + 828278.

It is an arithmetic number, because the mean of its divisors is an integer number (1344812040).

Almost surely, 222142432331 is an apocalyptic number.

22142432331 is a deficient number, since it is larger than the sum of its proper divisors (10133056629).

22142432331 is a wasteful number, since it uses less digits than its factorization.

22142432331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28007 (or 28004 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 22142432331 its reverse (13323424122), we get a palindrome (35465856453).

The spelling of 22142432331 in words is "twenty-two billion, one hundred forty-two million, four hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 131 393 691 1179 2073 6219 27179 81537 90521 244611 271563 814689 3560449 10681347 18780689 32044041 56342067 169026201 2460270259 7380810777 22142432331