203225120 has 96 divisors (see below), whose sum is σ = 551287296. Its totient is φ = 69350400.

The previous prime is 203225117. The next prime is 203225129. The reversal of 203225120 is 21522302.

203225120 = T₂₀₉ + T₂₁₀ + ... + T₁₀₇₀.

It is not an unprimeable number, because it can be changed into a prime (203225129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471305 + ... + 471735.

It is an arithmetic number, because the mean of its divisors is an integer number (5742576).

Almost surely, 2^203225120 is an apocalyptic number.

203225120 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 203225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275643648).

203225120 is an abundant number, since it is smaller than the sum of its proper divisors (348062176).

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

203225120 is a wasteful number, since it uses less digits than its factorization.

203225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 203225120 is about 14255.7048229823. The cubic root of 203225120 is about 587.9302368372.

Adding to 203225120 its reverse (21522302), we get a palindrome (224747422).

The spelling of 203225120 in words is "two hundred three million, two hundred twenty-five thousand, one hundred twenty".