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225802684969 = 107244412
BaseRepresentation
bin1101001001001011100…
…0111000101000101001
3210120211120120220002021
43102102320320220221
512144420441404334
6251422103104441
722212413103541
oct3222270705051
9716746526067
10225802684969
1187842802334
1237918a42121
13183a6c386c4
14ad00cd2321
155d1884e3b4
hex3492e38a29

225802684969 has 9 divisors (see below), whose sum is σ = 227984049111. Its totient is φ = 223642009680.

The previous prime is 225802684951. The next prime is 225802684981. The reversal of 225802684969 is 969486208522.

The square root of 225802684969 is 475187.

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., 87150715369 + 138651969600 = 295213^2 + 372360^2 .

It is not a de Polignac number, because 225802684969 - 217 = 225802553897 is a prime.

It is a super-2 number, since 2×2258026849692 (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 (225802684999) 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, 50842789 + ... + 50847229.

Almost surely, 2225802684969 is an apocalyptic number.

225802684969 is the 475187-th square number.

225802684969 is the 237594-th centered octagonal number.

It is an amenable number.

225802684969 is a deficient number, since it is larger than the sum of its proper divisors (2181364142).

225802684969 is an frugal number, since it uses more digits than its factorization.

225802684969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9096 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 225802684969 in words is "two hundred twenty-five billion, eight hundred two million, six hundred eighty-four thousand, nine hundred sixty-nine".

Divisors: 1 107 4441 11449 475187 19722481 50845009 2110305467 225802684969