223406820 has 288 divisors, whose sum is σ = 871782912. Its totient is φ = 45010944.

The previous prime is 223406773. The next prime is 223406879. The reversal of 223406820 is 28604322.

223406820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 376444 + ... + 377036.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024).

Almost surely, 2^223406820 is an apocalyptic number.

223406820 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 223406820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435891456).

223406820 is an abundant number, since it is smaller than the sum of its proper divisors (648376092).

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

223406820 is a wasteful number, since it uses less digits than its factorization.

223406820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 223406820 is about 14946.7996574518. The cubic root of 223406820 is about 606.7812359934.

The spelling of 223406820 in words is "two hundred twenty-three million, four hundred six thousand, eight hundred twenty".