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22133005605 = 3254111996209
BaseRepresentation
bin10100100111001110…
…101101110100100101
32010010111011011212100
4110213032231310211
5330312022134410
614100123042313
71412322305064
oct244716556445
963114134770
1022133005605
119428560777
124358370399
132119580829
1410dd6c41db
158981528c0
hex5273add25

22133005605 has 24 divisors (see below), whose sum is σ = 39299583960. Its totient is φ = 11516359680.

The previous prime is 22133005603. The next prime is 22133005621. The reversal of 22133005605 is 50650033122.

22133005605 is a `hidden beast` number, since 2 + 21 + 3 + 30 + 0 + 5 + 605 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1797675201 + 20335330404 = 42399^2 + 142602^2 .

It is not a de Polignac number, because 22133005605 - 21 = 22133005603 is a prime.

It is a super-2 number, since 2×221330056052 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133005603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5996260 + ... + 5999949.

It is an arithmetic number, because the mean of its divisors is an integer number (1637482665).

Almost surely, 222133005605 is an apocalyptic number.

It is an amenable number.

22133005605 is a deficient number, since it is larger than the sum of its proper divisors (17166578355).

22133005605 is a wasteful number, since it uses less digits than its factorization.

22133005605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11996261 (or 11996258 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 22133005605 its reverse (50650033122), we get a palindrome (72783038727).

The spelling of 22133005605 in words is "twenty-two billion, one hundred thirty-three million, five thousand, six hundred five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 11996209 35988627 59981045 107965881 179943135 491844569 539829405 1475533707 2459222845 4426601121 7377668535 22133005605