225946953 has 6 divisors (see below), whose sum is σ = 326367834. Its totient is φ = 150631296.

The previous prime is 225946951. The next prime is 225946957. The reversal of 225946953 is 359649522.

225946953 is a `hidden beast` number, since 2 + 2 + 594 + 6 + 9 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 161112249 + 64834704 = 12693^2 + 8052^2 .

It is not a de Polignac number, because 225946953 - 2¹ = 225946951 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225946899 and 225946908.

It is not an unprimeable number, because it can be changed into a prime (225946951) 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 5 ways as a sum of consecutive naturals, for example, 12552600 + ... + 12552617.

It is an arithmetic number, because the mean of its divisors is an integer number (54394639).

Almost surely, 2^225946953 is an apocalyptic number.

It is an amenable number.

225946953 is a deficient number, since it is larger than the sum of its proper divisors (100420881).

225946953 is a wasteful number, since it uses less digits than its factorization.

225946953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25105223 (or 25105220 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 225946953 is about 15031.5319578545. The cubic root of 225946953 is about 609.0722733675.

It can be divided in two parts, 2259469 and 53, that added together give a palindrome (2259522).

The spelling of 225946953 in words is "two hundred twenty-five million, nine hundred forty-six thousand, nine hundred fifty-three".