225016848 has 240 divisors, whose sum is σ = 784076800. Its totient is φ = 58786560.

The previous prime is 225016819. The next prime is 225016849. The reversal of 225016848 is 848610522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225016849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 593523 + ... + 593901.

Almost surely, 2^225016848 is an apocalyptic number.

225016848 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 225016848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392038400).

225016848 is an abundant number, since it is smaller than the sum of its proper divisors (559059952).

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

225016848 is a wasteful number, since it uses less digits than its factorization.

225016848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 225016848 is about 15000.5615894872. The cubic root of 225016848 is about 608.2353803546.

The spelling of 225016848 in words is "two hundred twenty-five million, sixteen thousand, eight hundred forty-eight".