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225688654489 = 412115872
BaseRepresentation
bin1101001000110000010…
…1111001001010011001
3210120112122000112200011
43102030011321022121
512144202243420424
6251402511041521
722206526624264
oct3221405711231
9716478015604
10225688654489
11877943a8571
12378a68102a1
131838942194c
14accdacbcdb
155d0d827694
hex348c179299

225688654489 has 9 divisors (see below), whose sum is σ = 231347480511. Its totient is φ = 220165050480.

The previous prime is 225688654459. The next prime is 225688654511. The reversal of 225688654489 is 984456886522.

The square root of 225688654489 is 475067.

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., 10874944089 + 214813710400 = 104283^2 + 463480^2 .

It is not a de Polignac number, because 225688654489 - 29 = 225688653977 is a prime.

It is a super-2 number, since 2×2256886544892 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225688654459) 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 8 ways as a sum of consecutive naturals, for example, 19471954 + ... + 19483540.

Almost surely, 2225688654489 is an apocalyptic number.

225688654489 is the 475067-th square number.

225688654489 is the 237534-th centered octagonal number.

It is an amenable number.

225688654489 is a deficient number, since it is larger than the sum of its proper divisors (5658826022).

225688654489 is an frugal number, since it uses more digits than its factorization.

225688654489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23256 (or 11628 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 67.

The spelling of 225688654489 in words is "two hundred twenty-five billion, six hundred eighty-eight million, six hundred fifty-four thousand, four hundred eighty-nine".

Divisors: 1 41 1681 11587 475067 19477747 134258569 5504601329 225688654489