202225320 has 192 divisors, whose sum is σ = 723340800. Its totient is φ = 48591360.

The previous prime is 202225301. The next prime is 202225321. The reversal of 202225320 is 23522202.

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

It is a junction number, because it is equal to n+sod(n) for n = 202225293 and 202225302.

It is not an unprimeable number, because it can be changed into a prime (202225321) 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, 882966 + ... + 883194.

It is an arithmetic number, because the mean of its divisors is an integer number (3767400).

Almost surely, 2^202225320 is an apocalyptic number.

202225320 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 202225320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361670400).

202225320 is an abundant number, since it is smaller than the sum of its proper divisors (521115480).

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

202225320 is a wasteful number, since it uses less digits than its factorization.

202225320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

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

The square root of 202225320 is about 14220.5949242639. The cubic root of 202225320 is about 586.9645110095.

Adding to 202225320 its reverse (23522202), we get a palindrome (225747522).

It can be divided in two parts, 202 and 225320, that added together give a palindrome (225522).

The spelling of 202225320 in words is "two hundred two million, two hundred twenty-five thousand, three hundred twenty".