202201128 has 96 divisors (see below), whose sum is σ = 583151400. Its totient is φ = 63074304.

The previous prime is 202201123. The next prime is 202201133. The reversal of 202201128 is 821102202.

It is a happy number.

202201128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202201123) and next prime (202201133).

It can be written as a sum of positive squares in 4 ways, for example, as 135908964 + 66292164 = 11658^2 + 8142^2 .

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 202201128.

It is not an unprimeable number, because it can be changed into a prime (202201123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284838 + ... + 285546.

Almost surely, 2^202201128 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 202201128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291575700).

202201128 is an abundant number, since it is smaller than the sum of its proper divisors (380950272).

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

202201128 is a wasteful number, since it uses less digits than its factorization.

202201128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 202201128 is about 14219.7443014985. The cubic root of 202201128 is about 586.9411040960.

The spelling of 202201128 in words is "two hundred two million, two hundred one thousand, one hundred twenty-eight".