226976 has 24 divisors (see below), whose sum is σ = 460404. Its totient is φ = 110080.

The previous prime is 226943. The next prime is 226991. The reversal of 226976 is 679622.

226976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 226576 + 400 = 476^2 + 20^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (9072) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1226 + ... + 1398.

2²²⁶⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230202).

226976 is an abundant number, since it is smaller than the sum of its proper divisors (233428).

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

226976 is a wasteful number, since it uses less digits than its factorization.

226976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 226976 is about 476.4199827883. The cubic root of 226976 is about 60.9995520884. Note that the first 3 decimals are identical.

The spelling of 226976 in words is "two hundred twenty-six thousand, nine hundred seventy-six".