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22103882645 = 5132229114229
BaseRepresentation
bin10100100101011111…
…100111101110010101
32010001110100120200012
4110211133213232111
5330232043221040
614053202530005
71411516621355
oct244537475625
963043316605
1022103882645
11941307a209
12434a666905
132113524b00
1410d98a2b65
158957ed865
hex5257e7b95

22103882645 has 24 divisors (see below), whose sum is σ = 28847644200. Its totient is φ = 16251446016.

The previous prime is 22103882641. The next prime is 22103882659. The reversal of 22103882645 is 54628830122.

It can be written as a sum of positive squares in 12 ways, for example, as 3660613009 + 18443269636 = 60503^2 + 135806^2 .

It is not a de Polignac number, because 22103882645 - 22 = 22103882641 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22103882641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136391 + ... + 250619.

It is an arithmetic number, because the mean of its divisors is an integer number (1201985175).

Almost surely, 222103882645 is an apocalyptic number.

It is an amenable number.

22103882645 is a deficient number, since it is larger than the sum of its proper divisors (6743761555).

22103882645 is a wasteful number, since it uses less digits than its factorization.

22103882645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114489 (or 114476 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 22103882645 in words is "twenty-two billion, one hundred three million, eight hundred eighty-two thousand, six hundred forty-five".

Divisors: 1 5 13 65 169 229 845 1145 2977 14885 38701 114229 193505 571145 1484977 7424885 19304701 26158441 96523505 130792205 340059733 1700298665 4420776529 22103882645