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22105462431 = 3131153491593
BaseRepresentation
bin10100100101100101…
…101001011010011111
32010001120022211201210
4110211211221122133
5330232444244211
614053300435503
71411536221223
oct244545513237
963046284653
1022105462431
119413a59118
12434b0a8b93
132113958bb0
1410d9b94783
15895a119a6
hex52596969f

22105462431 has 16 divisors (see below), whose sum is σ = 31768770656. Its totient is φ = 13591535616.

The previous prime is 22105462427. The next prime is 22105462451. The reversal of 22105462431 is 13426450122.

It is not a de Polignac number, because 22105462431 - 22 = 22105462427 is a prime.

It is a super-2 number, since 2×221054624312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22105462451) 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 15 ways as a sum of consecutive naturals, for example, 200830 + ... + 290763.

It is an arithmetic number, because the mean of its divisors is an integer number (1985548166).

Almost surely, 222105462431 is an apocalyptic number.

22105462431 is a deficient number, since it is larger than the sum of its proper divisors (9663308225).

22105462431 is a wasteful number, since it uses less digits than its factorization.

22105462431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492762.

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 22105462431 in words is "twenty-two billion, one hundred five million, four hundred sixty-two thousand, four hundred thirty-one".

Divisors: 1 3 13 39 1153 3459 14989 44967 491593 1474779 6390709 19172127 566806729 1700420187 7368487477 22105462431