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22144402521 = 3217202971333
BaseRepresentation
bin10100100111111010…
…001100010001011001
32010011021121012111100
4110213322030101121
5330322431340041
614101211222013
71412521213203
oct244772142131
963137535440
1022144402521
119433a3540a
124360147909
13211ba41177
14110100d773
158991546b6
hex527e8c459

22144402521 has 24 divisors (see below), whose sum is σ = 33885076680. Its totient is φ = 13887484416.

The previous prime is 22144402517. The next prime is 22144402529. The reversal of 22144402521 is 12520444122.

It is a happy number.

22144402521 is a `hidden beast` number, since 2 + 214 + 440 + 2 + 5 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12379010121 + 9765392400 = 111261^2 + 98820^2 .

It is not a de Polignac number, because 22144402521 - 22 = 22144402517 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22144402529) 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 23 ways as a sum of consecutive naturals, for example, 274771 + ... + 346103.

It is an arithmetic number, because the mean of its divisors is an integer number (1411878195).

Almost surely, 222144402521 is an apocalyptic number.

It is an amenable number.

22144402521 is a deficient number, since it is larger than the sum of its proper divisors (11740674159).

22144402521 is a wasteful number, since it uses less digits than its factorization.

22144402521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73385 (or 73382 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 22144402521 its reverse (12520444122), we get a palindrome (34664846643).

The spelling of 22144402521 in words is "twenty-two billion, one hundred forty-four million, four hundred two thousand, five hundred twenty-one".

Divisors: 1 3 9 17 51 153 2029 6087 18261 34493 71333 103479 213999 310437 641997 1212661 3637983 10913949 144734657 434203971 1302611913 2460489169 7381467507 22144402521