225709044 has 72 divisors (see below), whose sum is σ = 581837760. Its totient is φ = 68048640.

The previous prime is 225709031. The next prime is 225709049. The reversal of 225709044 is 440907522.

225709044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 225708996 and 225709014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225709049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521052 + ... + 521484.

It is an arithmetic number, because the mean of its divisors is an integer number (8081080).

Almost surely, 2^225709044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225709044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290918880).

225709044 is an abundant number, since it is smaller than the sum of its proper divisors (356128716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225709044 is a wasteful number, since it uses less digits than its factorization.

225709044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 225709044 is about 15023.6162091555. The cubic root of 225709044 is about 608.8584257338.

The spelling of 225709044 in words is "two hundred twenty-five million, seven hundred nine thousand, forty-four".