225818208 has 288 divisors, whose sum is σ = 849139200. Its totient is φ = 55111680.

The previous prime is 225818189. The next prime is 225818227. The reversal of 225818208 is 802818522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225818189) and next prime (225818227).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376693 + ... + 377291.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^225818208 is an apocalyptic number.

225818208 is a gapful number since it is divisible by the number (28) 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 225818208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424569600).

225818208 is an abundant number, since it is smaller than the sum of its proper divisors (623320992).

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

225818208 is a wasteful number, since it uses less digits than its factorization.

225818208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 225818208 is about 15027.2488500058. The cubic root of 225818208 is about 608.9565678782.

The spelling of 225818208 in words is "two hundred twenty-five million, eight hundred eighteen thousand, two hundred eight".