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22265829949 = 11233128110103
BaseRepresentation
bin10100101111001001…
…011001101000111101
32010110202002100121111
4110233021121220331
5331100023024244
614121230002021
71415524301056
oct245711315075
963422070544
1022265829949
119496531660
124394946311
13213ac47a0c
1411131bb72d
158a4b3ce34
hex52f259a3d

22265829949 has 32 divisors (see below), whose sum is σ = 26259406848. Its totient is φ = 18668496000.

The previous prime is 22265829923. The next prime is 22265829967. The reversal of 22265829949 is 94992856222.

It is not a de Polignac number, because 22265829949 - 27 = 22265829821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22265829893 and 22265829902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22265829149) 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 31 ways as a sum of consecutive naturals, for example, 2198832 + ... + 2208934.

It is an arithmetic number, because the mean of its divisors is an integer number (820606464).

Almost surely, 222265829949 is an apocalyptic number.

It is an amenable number.

22265829949 is a deficient number, since it is larger than the sum of its proper divisors (3993576899).

22265829949 is a wasteful number, since it uses less digits than its factorization.

22265829949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10449.

The product of its digits is 11197440, while the sum is 58.

The spelling of 22265829949 in words is "twenty-two billion, two hundred sixty-five million, eight hundred twenty-nine thousand, nine hundred forty-nine".

Divisors: 1 11 23 31 253 281 341 713 3091 6463 7843 8711 10103 71093 95821 111133 200353 232369 313193 2203883 2556059 2838943 3445123 7203439 31228373 65295689 79237829 88007233 718252579 968079563 2024166359 22265829949