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22681303461 = 3210155744797
BaseRepresentation
bin10101000111111010…
…010011100110100101
32011112200212121010100
4111013322103212211
5332422403202321
614230351014313
71432030620105
oct250772234645
964480777110
1022681303461
11968a005aa3
12448bb0a399
1321a604632b
14115244d205
158cb35b326
hex547e939a5

22681303461 has 24 divisors (see below), whose sum is σ = 33146398584. Its totient is φ = 14943945600.

The previous prime is 22681303459. The next prime is 22681303471. The reversal of 22681303461 is 16430318622.

22681303461 is a `hidden beast` number, since 2 + 2 + 68 + 130 + 3 + 461 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2503100961 + 20178202500 = 50031^2 + 142050^2 .

It is not a de Polignac number, because 22681303461 - 21 = 22681303459 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22681303471) 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, 483915 + ... + 528711.

It is an arithmetic number, because the mean of its divisors is an integer number (1381099941).

Almost surely, 222681303461 is an apocalyptic number.

It is an amenable number.

22681303461 is a deficient number, since it is larger than the sum of its proper divisors (10465095123).

22681303461 is a wasteful number, since it uses less digits than its factorization.

22681303461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45461 (or 45458 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 22681303461 in words is "twenty-two billion, six hundred eighty-one million, three hundred three thousand, four hundred sixty-one".

Divisors: 1 3 9 101 303 557 909 1671 5013 44797 56257 134391 168771 403173 506313 4524497 13573491 24951929 40720473 74855787 224567361 2520144829 7560434487 22681303461