225054414 has 48 divisors (see below), whose sum is σ = 529331712. Its totient is φ = 68693184.

The previous prime is 225054409. The next prime is 225054419. The reversal of 225054414 is 414450522.

225054414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225054409) and next prime (225054419).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225054419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25932 + ... + 33504.

It is an arithmetic number, because the mean of its divisors is an integer number (11027744).

Almost surely, 2^225054414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225054414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264665856).

225054414 is an abundant number, since it is smaller than the sum of its proper divisors (304277298).

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

225054414 is a wasteful number, since it uses less digits than its factorization.

225054414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7721 (or 7718 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 225054414 is about 15001.8136903509. The cubic root of 225054414 is about 608.2692262630.

The spelling of 225054414 in words is "two hundred twenty-five million, fifty-four thousand, four hundred fourteen".