225829620 has 108 divisors (see below), whose sum is σ = 711740484. Its totient is φ = 60186240.

The previous prime is 225829613. The next prime is 225829621. The reversal of 225829620 is 26928522.

225829620 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 29 + 620 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124947684 + 100881936 = 11178^2 + 10044^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225829621) 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 35 ways as a sum of consecutive naturals, for example, 130360 + ... + 132080.

Almost surely, 2^225829620 is an apocalyptic number.

225829620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225829620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355870242).

225829620 is an abundant number, since it is smaller than the sum of its proper divisors (485910864).

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

225829620 is an equidigital number, since it uses as much as digits as its factorization.

225829620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 225829620 is about 15027.6285554308. The cubic root of 225829620 is about 608.9668258277.

It can be divided in two parts, 2258 and 29620, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 225829620 in words is "two hundred twenty-five million, eight hundred twenty-nine thousand, six hundred twenty".