225743000 has 192 divisors, whose sum is σ = 653028480. Its totient is φ = 72576000.

The previous prime is 225742987. The next prime is 225743081. The reversal of 225743000 is 347522.

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, 832865 + ... + 833135.

It is an arithmetic number, because the mean of its divisors is an integer number (3401190).

Almost surely, 2^225743000 is an apocalyptic number.

225743000 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 225743000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326514240).

225743000 is an abundant number, since it is smaller than the sum of its proper divisors (427285480).

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

225743000 is a wasteful number, since it uses less digits than its factorization.

225743000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 225743000 is about 15024.7462540969. The cubic root of 225743000 is about 608.8889567214. Note that the first 3 decimals are identical.

The spelling of 225743000 in words is "two hundred twenty-five million, seven hundred forty-three thousand".