202248 has 36 divisors (see below), whose sum is σ = 558285. Its totient is φ = 66144.

The previous prime is 202243. The next prime is 202277. The reversal of 202248 is 842202.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 191844 + 10404 = 438^2 + 102^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=318.

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

It is a self number, because there is not a number n which added to its sum of digits gives 202248.

It is not an unprimeable number, because it can be changed into a prime (202243) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3790 + ... + 3842.

202248 is a Friedman number, since it can be written as 2*(40*8-2)^2, using all its digits and the basic arithmetic operations.

2²⁰²²⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202248

202248 is an abundant number, since it is smaller than the sum of its proper divisors (356037).

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

202248 is a wasteful number, since it uses less digits than its factorization.

202248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 202248 is about 449.7199128346. The cubic root of 202248 is about 58.6986453296.

Multiplying 202248 by its sum of digits (18), we get a square (3640464 = 1908²).

202248 divided by its sum of digits (18) gives a square (11236 = 106²).

The spelling of 202248 in words is "two hundred two thousand, two hundred forty-eight".