202212920 has 128 divisors (see below), whose sum is σ = 568391040. Its totient is φ = 63037440.

The previous prime is 202212917. The next prime is 202212937. The reversal of 202212920 is 29212202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202212892 and 202212901.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 265340 + ... + 266100.

It is an arithmetic number, because the mean of its divisors is an integer number (4440555).

Almost surely, 2^202212920 is an apocalyptic number.

202212920 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 202212920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284195520).

202212920 is an abundant number, since it is smaller than the sum of its proper divisors (366178120).

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

202212920 is a wasteful number, since it uses less digits than its factorization.

202212920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 202212920 is about 14220.1589301948. The cubic root of 202212920 is about 586.9525136515.

The spelling of 202212920 in words is "two hundred two million, two hundred twelve thousand, nine hundred twenty".