224564225 has 12 divisors (see below), whose sum is σ = 278670780. Its totient is φ = 179515200.

The previous prime is 224564209. The next prime is 224564227. The reversal of 224564225 is 522465422.

It can be written as a sum of positive squares in 6 ways, for example, as 29235649 + 195328576 = 5407^2 + 13976^2 .

It is not a de Polignac number, because 224564225 - 2⁴ = 224564209 is a prime.

It is a super-2 number, since 2×224564225² = 100858182299701250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224564191 and 224564200.

It is not an unprimeable number, because it can be changed into a prime (224564227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42215 + ... + 47235.

It is an arithmetic number, because the mean of its divisors is an integer number (23222565).

Almost surely, 2^224564225 is an apocalyptic number.

224564225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224564225 is a deficient number, since it is larger than the sum of its proper divisors (54106555).

224564225 is a wasteful number, since it uses less digits than its factorization.

224564225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6820 (or 6815 counting only the distinct ones).

The product of its digits is 38400, while the sum is 32.

The square root of 224564225 is about 14985.4671265196. The cubic root of 224564225 is about 607.8272833288.

The spelling of 224564225 in words is "two hundred twenty-four million, five hundred sixty-four thousand, two hundred twenty-five".