225342000 has 400 divisors, whose sum is σ = 884755872. Its totient is φ = 54950400.

The previous prime is 225341999. The next prime is 225342023. The reversal of 225342000 is 243522.

225342000 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 (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2105947 + ... + 2106053.

Almost surely, 2^225342000 is an apocalyptic number.

225342000 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 225342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442377936).

225342000 is an abundant number, since it is smaller than the sum of its proper divisors (659413872).

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

225342000 is a wasteful number, since it uses less digits than its factorization.

225342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 225342000 is about 15011.3956712892. The cubic root of 225342000 is about 608.5282084533.

Adding to 225342000 its reverse (243522), we get a palindrome (225585522).

It can be divided in two parts, 2253 and 42000, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 225342000 in words is "two hundred twenty-five million, three hundred forty-two thousand".