225953829 has 12 divisors (see below), whose sum is σ = 334338732. Its totient is φ = 146961600.

The previous prime is 225953809. The next prime is 225953831. The reversal of 225953829 is 928359522.

225953829 is a `hidden beast` number, since 2 + 2 + 595 + 38 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44916804 + 181037025 = 6702^2 + 13455^2 .

It is not a de Polignac number, because 225953829 - 2¹² = 225949733 is a prime.

It is a super-2 number, since 2×225953829² = 102110265679522482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225953809) 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, 305802 + ... + 306539.

It is an arithmetic number, because the mean of its divisors is an integer number (27861561).

Almost surely, 2^225953829 is an apocalyptic number.

It is an amenable number.

225953829 is a deficient number, since it is larger than the sum of its proper divisors (108384903).

225953829 is a wasteful number, since it uses less digits than its factorization.

225953829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612388 (or 612385 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 225953829 is about 15031.7606753168. The cubic root of 225953829 is about 609.0784517181.

The spelling of 225953829 in words is "two hundred twenty-five million, nine hundred fifty-three thousand, eight hundred twenty-nine".