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22540241645 = 511339894233
BaseRepresentation
bin10100111111100000…
…001100101011101101
32011011212102220200122
4110333200030223231
5332130300213040
614204351334325
71425365615135
oct247740145355
964155386618
1022540241645
119617419189
1244508213a5
132182a568bc
14113b80dac5
158bdc951b5
hex53f80caed

22540241645 has 8 divisors (see below), whose sum is σ = 27287656056. Its totient is φ = 17872615936.

The previous prime is 22540241629. The next prime is 22540241729. The reversal of 22540241645 is 54614204522.

It can be written as a sum of positive squares in 4 ways, for example, as 45941284 + 22494300361 = 6778^2 + 149981^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22540241645 - 24 = 22540241629 is a prime.

It is a super-3 number, since 3×225402416453 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19946552 + ... + 19947681.

It is an arithmetic number, because the mean of its divisors is an integer number (3410957007).

Almost surely, 222540241645 is an apocalyptic number.

It is an amenable number.

22540241645 is a deficient number, since it is larger than the sum of its proper divisors (4747414411).

22540241645 is a wasteful number, since it uses less digits than its factorization.

22540241645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39894351.

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 22540241645 in words is "twenty-two billion, five hundred forty million, two hundred forty-one thousand, six hundred forty-five".

Divisors: 1 5 113 565 39894233 199471165 4508048329 22540241645