226920 has 64 divisors (see below), whose sum is σ = 714240. Its totient is φ = 57600.

The previous prime is 226913. The next prime is 226937. The reversal of 226920 is 29622.

It is a happy number.

226920 is nontrivially palindromic in base 11.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3690 + ... + 3750.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2²²⁶⁹²⁰ is an apocalyptic number.

226920 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 226920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

226920 is an abundant number, since it is smaller than the sum of its proper divisors (487320).

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

226920 is a wasteful number, since it uses less digits than its factorization.

226920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 226920 is about 476.3612074886. The cubic root of 226920 is about 60.9945350295.

The spelling of 226920 in words is "two hundred twenty-six thousand, nine hundred twenty".