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22689221513 = 721733072
BaseRepresentation
bin10101001000011000…
…100000101110001001
32011120020202212122112
4111020120200232021
5332431420042023
614231232432105
71432155125600
oct251030405611
964506685575
1022689221513
119693523a42
1244926a8635
1321a788937a
141153510a37
158cbdc2478
hex548620b89

22689221513 has 36 divisors (see below), whose sum is σ = 28134489780. Its totient is φ = 18244287936.

The previous prime is 22689221509. The next prime is 22689221537. The reversal of 22689221513 is 31512298622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12487615504 + 10201606009 = 111748^2 + 101003^2 .

It is not a de Polignac number, because 22689221513 - 22 = 22689221509 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22689221573) 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 35 ways as a sum of consecutive naturals, for example, 73906106 + ... + 73906412.

It is an arithmetic number, because the mean of its divisors is an integer number (781513605).

Almost surely, 222689221513 is an apocalyptic number.

It is an amenable number.

22689221513 is a deficient number, since it is larger than the sum of its proper divisors (5445268267).

22689221513 is an frugal number, since it uses more digits than its factorization.

22689221513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 331 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The spelling of 22689221513 in words is "twenty-two billion, six hundred eighty-nine million, two hundred twenty-one thousand, five hundred thirteen".

Divisors: 1 7 17 49 119 289 307 833 2023 2149 4913 5219 14161 15043 34391 36533 88723 94249 240737 255731 621061 659743 1508291 1602233 4347427 4618201 10558037 11215631 27237961 73906259 78509417 190665727 463045337 1334660089 3241317359 22689221513