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22085823769 = 35324212
BaseRepresentation
bin10100100100011010…
…101110110100011001
32010000012101002112221
4110210122232310121
5330212432330034
614051315504041
71411210255522
oct244432566431
963005332487
1022085823769
119403965319
1243445b8021
13210c871099
1410d7321849
15893e32bb4
hex5246aed19

22085823769 has 9 divisors (see below), whose sum is σ = 22201301469. Its totient is φ = 21970945920.

The previous prime is 22085823743. The next prime is 22085823791. The reversal of 22085823769 is 96732858022.

The square root of 22085823769 is 148613.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11602521225 + 10483302544 = 107715^2 + 102388^2 .

It is not a de Polignac number, because 22085823769 - 211 = 22085821721 is a prime.

It is a super-2 number, since 2×220858237692 (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 (22085823869) 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 8 ways as a sum of consecutive naturals, for example, 52460179 + ... + 52460599.

Almost surely, 222085823769 is an apocalyptic number.

22085823769 is the 148613-rd square number.

22085823769 is the 74307-th centered octagonal number.

It is an amenable number.

22085823769 is a deficient number, since it is larger than the sum of its proper divisors (115477700).

22085823769 is an frugal number, since it uses more digits than its factorization.

22085823769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 22085823769 in words is "twenty-two billion, eighty-five million, eight hundred twenty-three thousand, seven hundred sixty-nine".

Divisors: 1 353 421 124609 148613 177241 52460389 62566073 22085823769