202245120 has 704 divisors, whose sum is σ = 943257600. Its totient is φ = 39813120.

The previous prime is 202245103. The next prime is 202245157. The reversal of 202245120 is 21542202.

It is a tau number, because it is divible by the number of its divisors (704).

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 = 202245093 and 202245102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10644471 + ... + 10644489.

Almost surely, 2^202245120 is an apocalyptic number.

202245120 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 202245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471628800).

202245120 is an abundant number, since it is smaller than the sum of its proper divisors (741012480).

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

202245120 is a wasteful number, since it uses less digits than its factorization.

202245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 202245120 is about 14221.2910806298. The cubic root of 202245120 is about 586.9836670645.

Adding to 202245120 its reverse (21542202), we get a palindrome (223787322).

The spelling of 202245120 in words is "two hundred two million, two hundred forty-five thousand, one hundred twenty".