202066225 has 9 divisors (see below), whose sum is σ = 250650283. Its totient is φ = 161596120.

The previous prime is 202066219. The next prime is 202066253. The reversal of 202066225 is 522660202.

The square root of 202066225 is 14215.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 72743841 + 129322384 = 8529^2 + 11372^2 .

It is not a de Polignac number, because 202066225 - 2²¹ = 199969073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202066225.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 69654 + ... + 72496.

Almost surely, 2^202066225 is an apocalyptic number.

202066225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

202066225 is the 14215-th square number.

202066225 is the 7108-th centered octagonal number.

It is an amenable number.

202066225 is a deficient number, since it is larger than the sum of its proper divisors (48584058).

202066225 is an frugal number, since it uses more digits than its factorization.

202066225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The cubic root of 202066225 is about 586.8105447663.

Multiplying 202066225 by its sum of digits (25), we get a square (5051655625 = 71075²).

202066225 divided by its sum of digits (25) gives a square (8082649 = 2843²).

The spelling of 202066225 in words is "two hundred two million, sixty-six thousand, two hundred twenty-five".