202213431420 has 1152 divisors, whose sum is σ = 825926492160. Its totient is φ = 35777064960.

The previous prime is 202213431397. The next prime is 202213431473. The reversal of 202213431420 is 24134312202.

It is a happy number.

202213431420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 637897102 + ... + 637897418.

It is an arithmetic number, because the mean of its divisors is an integer number (716950080).

Almost surely, 2^202213431420 is an apocalyptic number.

202213431420 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 202213431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412963246080).

202213431420 is an abundant number, since it is smaller than the sum of its proper divisors (623713060740).

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

202213431420 is a wasteful number, since it uses less digits than its factorization.

202213431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 202213431420 its reverse (24134312202), we get a palindrome (226347743622).

The spelling of 202213431420 in words is "two hundred two billion, two hundred thirteen million, four hundred thirty-one thousand, four hundred twenty".