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22133985969 = 337616195281
BaseRepresentation
bin10100100111010010…
…011101001010110001
32010010112222222200010
4110213102131022301
5330312300022334
614100200045133
71412333530224
oct244722351261
963115888603
1022133985969
119429070297
1243587637a9
132119834b24
1410dd89b5bb
158982980e9
hex52749d2b1

22133985969 has 32 divisors (see below), whose sum is σ = 30862092160. Its totient is φ = 14096332800.

The previous prime is 22133985959. The next prime is 22133985971. The reversal of 22133985969 is 96958933122.

It is not a de Polignac number, because 22133985969 - 216 = 22133920433 is a prime.

It is a super-2 number, since 2×221339859692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22133985959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4188609 + ... + 4193889.

It is an arithmetic number, because the mean of its divisors is an integer number (964440380).

Almost surely, 222133985969 is an apocalyptic number.

It is an amenable number.

22133985969 is a deficient number, since it is larger than the sum of its proper divisors (8728106191).

22133985969 is a wasteful number, since it uses less digits than its factorization.

22133985969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001.

The product of its digits is 6298560, while the sum is 57.

The spelling of 22133985969 in words is "twenty-two billion, one hundred thirty-three million, nine hundred eighty-five thousand, nine hundred sixty-nine".

Divisors: 1 3 37 61 111 183 619 1857 2257 5281 6771 15843 22903 37759 68709 113277 195397 322141 586191 966423 1397083 3268939 4191249 9806817 11919217 35757651 120950743 199405279 362852229 598215837 7377995323 22133985969