202252032 has 144 divisors (see below), whose sum is σ = 619332000. Its totient is φ = 65028096.

The previous prime is 202252019. The next prime is 202252049. The reversal of 202252032 is 230252202.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 202251996 and 202252014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199944 + ... + 200952.

Almost surely, 2^202252032 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 202252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309666000).

202252032 is an abundant number, since it is smaller than the sum of its proper divisors (417079968).

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

202252032 is a wasteful number, since it uses less digits than its factorization.

202252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1043 counting only the distinct ones).

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

The square root of 202252032 is about 14221.5340944639. The cubic root of 202252032 is about 586.9903539747.

The spelling of 202252032 in words is "two hundred two million, two hundred fifty-two thousand, thirty-two".