202242000 has 160 divisors (see below), whose sum is σ = 670385664. Its totient is φ = 52416000.

The previous prime is 202241999. The next prime is 202242041. The reversal of 202242000 is 242202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221545 + ... + 222455.

Almost surely, 2^202242000 is an apocalyptic number.

202242000 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 202242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335192832).

202242000 is an abundant number, since it is smaller than the sum of its proper divisors (468143664).

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

202242000 is a wasteful number, since it uses less digits than its factorization.

202242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 202242000 is about 14221.1813855249. The cubic root of 202242000 is about 586.9806486176.

Adding to 202242000 its reverse (242202), we get a palindrome (202484202).

The spelling of 202242000 in words is "two hundred two million, two hundred forty-two thousand".