226681920 has 168 divisors, whose sum is σ = 805159680. Its totient is φ = 58475520.

The previous prime is 226681891. The next prime is 226681937. The reversal of 226681920 is 29186622.

It is a happy number.

226681920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88011 + ... + 90549.

Almost surely, 2^226681920 is an apocalyptic number.

226681920 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 226681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402579840).

226681920 is an abundant number, since it is smaller than the sum of its proper divisors (578477760).

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

226681920 is a wasteful number, since it uses less digits than its factorization.

226681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 226681920 is about 15055.9596173741. The cubic root of 226681920 is about 609.7319614293.

The spelling of 226681920 in words is "two hundred twenty-six million, six hundred eighty-one thousand, nine hundred twenty".