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223054225 = 522921032
BaseRepresentation
bin11010100101110…
…00100110010001
3120112201022212121
431102320212101
5424100213400
634044454241
75345633602
oct1522704621
9515638777
10223054225
111049a9a39
126284a381
1337299964
14218a3da9
15148b021a
hexd4b8991

223054225 has 27 divisors (see below), whose sum is σ = 289261713. Its totient is φ = 170617440.

The previous prime is 223054213. The next prime is 223054267. The reversal of 223054225 is 522450322.

It is a happy number.

The square root of 223054225 is 14935.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3066001 + 219988224 = 1751^2 + 14832^2 .

It is not a de Polignac number, because 223054225 - 215 = 223021457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 223054225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2165524 + ... + 2165626.

Almost surely, 2223054225 is an apocalyptic number.

223054225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

223054225 is the 14935-th square number.

223054225 is the 7468-th centered octagonal number.

It is an amenable number.

223054225 is a deficient number, since it is larger than the sum of its proper divisors (66207488).

223054225 is an equidigital number, since it uses as much as digits as its factorization.

223054225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The cubic root of 223054225 is about 606.4618475280.

Multiplying 223054225 by its sum of digits (25), we get a square (5576355625 = 746752).

223054225 divided by its sum of digits (25) gives a square (8922169 = 29872).

The spelling of 223054225 in words is "two hundred twenty-three million, fifty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 29 103 145 515 725 841 2575 2987 4205 10609 14935 21025 53045 74675 86623 265225 307661 433115 1538305 2165575 7691525 8922169 44610845 223054225