225358000 has 80 divisors (see below), whose sum is σ = 622799424. Its totient is φ = 77260800.

The previous prime is 225357971. The next prime is 225358073. The reversal of 225358000 is 853522.

225358000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5952 + ... + 22048.

Almost surely, 2^225358000 is an apocalyptic number.

225358000 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 225358000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311399712).

225358000 is an abundant number, since it is smaller than the sum of its proper divisors (397441424).

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

225358000 is a wasteful number, since it uses less digits than its factorization.

225358000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16127 (or 16111 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 225358000 is about 15011.9285902911. The cubic root of 225358000 is about 608.5426105930.

The spelling of 225358000 in words is "two hundred twenty-five million, three hundred fifty-eight thousand".