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22017442401 = 3238959910499
BaseRepresentation
bin10100100000010101…
…111000001001100001
32002211102200221221200
4110200111320021201
5330042431124101
614040434111413
71406420113113
oct244025701141
962742627850
1022017442401
1193792aa399
12432571b569
1320cb64b236
1410cc2013b3
1588ce26986
hex520578261

22017442401 has 24 divisors (see below), whose sum is σ = 31941000000. Its totient is φ = 14614727712.

The previous prime is 22017442367. The next prime is 22017442451. The reversal of 22017442401 is 10424471022.

22017442401 is a `hidden beast` number, since 220 + 17 + 4 + 424 + 0 + 1 = 666.

It is not a de Polignac number, because 22017442401 - 215 = 22017409633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22017442451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2091850 + ... + 2102348.

It is an arithmetic number, because the mean of its divisors is an integer number (1330875000).

Almost surely, 222017442401 is an apocalyptic number.

It is an amenable number.

22017442401 is a deficient number, since it is larger than the sum of its proper divisors (9923557599).

22017442401 is a wasteful number, since it uses less digits than its factorization.

22017442401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11493 (or 11490 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 22017442401 in words is "twenty-two billion, seventeen million, four hundred forty-two thousand, four hundred one".

Divisors: 1 3 9 389 599 1167 1797 3501 5391 10499 31497 94491 233011 699033 2097099 4084111 6288901 12252333 18866703 36756999 56600109 2446382489 7339147467 22017442401