225306900 has 432 divisors, whose sum is σ = 914316480. Its totient is φ = 47174400.

The previous prime is 225306889. The next prime is 225306911. The reversal of 225306900 is 9603522.

It is an interprime number because it is at equal distance from previous prime (225306889) and next prime (225306911).

It is a super-2 number, since 2×225306900² = 101526398375220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1719835 + ... + 1719965.

Almost surely, 2^225306900 is an apocalyptic number.

225306900 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 225306900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457158240).

225306900 is an abundant number, since it is smaller than the sum of its proper divisors (689009580).

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

225306900 is a wasteful number, since it uses less digits than its factorization.

225306900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 225306900 is about 15010.2265139471. The cubic root of 225306900 is about 608.4966113709.

The spelling of 225306900 in words is "two hundred twenty-five million, three hundred six thousand, nine hundred".