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223264325 = 523129293
BaseRepresentation
bin11010100111010…
…11111001000101
3120120010000002002
431103223321011
5424123424300
634053155045
75350500254
oct1523537105
9516100062
10223264325
11105032879
126292ba85
133734148b
142191a79b
15149025d5
hexd4ebe45

223264325 has 18 divisors (see below), whose sum is σ = 286097202. Its totient is φ = 172831200.

The previous prime is 223264309. The next prime is 223264337. The reversal of 223264325 is 523462322.

It can be written as a sum of positive squares in 3 ways, for example, as 961 + 223263364 = 31^2 + 14942^2 .

It is not a de Polignac number, because 223264325 - 24 = 223264309 is a prime.

It is a super-3 number, since 3×2232643253 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19379 + ... + 28671.

It is an arithmetic number, because the mean of its divisors is an integer number (15894289).

Almost surely, 2223264325 is an apocalyptic number.

223264325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

223264325 is a deficient number, since it is larger than the sum of its proper divisors (62832877).

223264325 is an equidigital number, since it uses as much as digits as its factorization.

223264325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9365 (or 9329 counting only the distinct ones).

The product of its digits is 17280, while the sum is 29.

The square root of 223264325 is about 14942.0321576417. The cubic root of 223264325 is about 606.6522013148.

The spelling of 223264325 in words is "two hundred twenty-three million, two hundred sixty-four thousand, three hundred twenty-five".

Divisors: 1 5 25 31 155 775 961 4805 9293 24025 46465 232325 288083 1440415 7202075 8930573 44652865 223264325