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22663194849 = 344323892
BaseRepresentation
bin10101000110110101…
…001110100011100001
32011111102210120210000
4111012311032203201
5332403234213344
614224502530213
71431420656241
oct250665164341
964442716700
1022663194849
11967a8677a9
124485a36969
1321a2375a89
14114dc97b21
158c9980a69
hex546d4e8e1

22663194849 has 45 divisors (see below), whose sum is σ = 34749859683. Its totient is φ = 14719492368.

The previous prime is 22663194839. The next prime is 22663194899. The reversal of 22663194849 is 94849136622.

The square root of 22663194849 is 150543.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5349898449 + 17313296400 = 73143^2 + 131580^2 .

It is not a de Polignac number, because 22663194849 - 211 = 22663192801 is a prime.

It is a super-3 number, since 3×226631948493 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22663194795 and 22663194804.

It is not an unprimeable number, because it can be changed into a prime (22663194839) 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 44 ways as a sum of consecutive naturals, for example, 58259947 + ... + 58260335.

Almost surely, 222663194849 is an apocalyptic number.

22663194849 is the 150543-rd square number.

22663194849 is the 75272-nd centered octagonal number.

It is an amenable number.

22663194849 is a deficient number, since it is larger than the sum of its proper divisors (12086664834).

22663194849 is an frugal number, since it uses more digits than its factorization.

22663194849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 435 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 22663194849 in words is "twenty-two billion, six hundred sixty-three million, one hundred ninety-four thousand, eight hundred forty-nine".

Divisors: 1 3 9 27 43 81 129 387 389 1161 1167 1849 3483 3501 5547 10503 16641 16727 31509 49923 50181 149769 150543 151321 451629 453963 719261 1354887 1361889 2157783 4085667 6473349 6506803 12257001 19420047 19520409 58260141 58561227 175683681 279792529 527051043 839377587 2518132761 7554398283 22663194849