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22661383829 = 721224137781
BaseRepresentation
bin10101000110101110…
…010100011010010101
32011111022101120112012
4111012232110122111
5332402303240304
614224400034005
71431366404300
oct250656243225
964438346465
1022661383829
119679840097
124485302905
1321a1b90676
14114d945b37
158c972416e
hex546b94695

22661383829 has 12 divisors (see below), whose sum is σ = 26364052908. Its totient is φ = 19421942400.

The previous prime is 22661383819. The next prime is 22661383831. The reversal of 22661383829 is 92838316622.

It can be written as a sum of positive squares in 2 ways, for example, as 12520491025 + 10140892804 = 111895^2 + 100702^2 .

It is not a de Polignac number, because 22661383829 - 216 = 22661318293 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22661383819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 580919 + ... + 618699.

It is an arithmetic number, because the mean of its divisors is an integer number (2197004409).

Almost surely, 222661383829 is an apocalyptic number.

It is an amenable number.

22661383829 is a deficient number, since it is larger than the sum of its proper divisors (3702669079).

22661383829 is a wasteful number, since it uses less digits than its factorization.

22661383829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50036 (or 50029 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 50.

The spelling of 22661383829 in words is "twenty-two billion, six hundred sixty-one million, three hundred eighty-three thousand, eight hundred twenty-nine".

Divisors: 1 7 49 12241 37781 85687 264467 599809 1851269 462477221 3237340547 22661383829