225336048 has 160 divisors (see below), whose sum is σ = 716144640. Its totient is φ = 59616000.

The previous prime is 225336017. The next prime is 225336049. The reversal of 225336048 is 840633522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225336049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299673 + ... + 300423.

It is an arithmetic number, because the mean of its divisors is an integer number (4475904).

Almost surely, 2^225336048 is an apocalyptic number.

225336048 is a gapful number since it is divisible by the number (28) 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 225336048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358072320).

225336048 is an abundant number, since it is smaller than the sum of its proper divisors (490808592).

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

225336048 is a wasteful number, since it uses less digits than its factorization.

225336048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 225336048 is about 15011.1974205924. The cubic root of 225336048 is about 608.5228506833.

It can be divided in two parts, 2253 and 36048, that multiplied together give a square (81216144 = 9012²).

The spelling of 225336048 in words is "two hundred twenty-five million, three hundred thirty-six thousand, forty-eight".