201221940 has 96 divisors (see below), whose sum is σ = 601767936. Its totient is φ = 50117760.

The previous prime is 201221939. The next prime is 201221959. The reversal of 201221940 is 49122102.

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, 57645 + ... + 61035.

It is an arithmetic number, because the mean of its divisors is an integer number (6268416).

Almost surely, 2^201221940 is an apocalyptic number.

201221940 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 201221940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300883968).

201221940 is an abundant number, since it is smaller than the sum of its proper divisors (400545996).

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

201221940 is a wasteful number, since it uses less digits than its factorization.

201221940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 201221940 is about 14185.2719395858. The cubic root of 201221940 is about 585.9921217204.

The spelling of 201221940 in words is "two hundred one million, two hundred twenty-one thousand, nine hundred forty".