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22430304144 = 2432612553541
BaseRepresentation
bin10100111000111100…
…110100011110010000
32010220012120111210100
4110320330310132100
5331414124213034
614145423132400
71422562303503
oct247074643620
963805514710
1022430304144
11957035a546
12441ba44100
132166043b21
14112ad9313a
158b42cb099
hex538f34790

22430304144 has 60 divisors (see below), whose sum is σ = 63802800412. Its totient is φ = 7354195200.

The previous prime is 22430304133. The next prime is 22430304157. The reversal of 22430304144 is 44140303422.

It is a happy number.

22430304144 is a `hidden beast` number, since 2 + 243 + 0 + 3 + 0 + 414 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6417932544 + 16012371600 = 80112^2 + 126540^2 .

It is an unprimeable number.

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, 1267987 + ... + 1285554.

Almost surely, 222430304144 is an apocalyptic number.

22430304144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22430304144 is an abundant number, since it is smaller than the sum of its proper divisors (41372496268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22430304144 is a wasteful number, since it uses less digits than its factorization.

22430304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553616 (or 2553607 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22430304144 its reverse (44140303422), we get a palindrome (66570607566).

The spelling of 22430304144 in words is "twenty-two billion, four hundred thirty million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 2553541 5107082 7660623 10214164 15321246 20428328 22981869 30642492 40856656 45963738 61284984 91927476 122569968 155766001 183854952 311532002 367709904 467298003 623064004 934596006 1246128008 1401894009 1869192012 2492256016 2803788018 3738384024 5607576036 7476768048 11215152072 22430304144