226677456 has 240 divisors, whose sum is σ = 724239360. Its totient is φ = 65802240.

The previous prime is 226677421. The next prime is 226677491. The reversal of 226677456 is 654776622.

It is an interprime number because it is at equal distance from previous prime (226677421) and next prime (226677491).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2200701 + ... + 2200803.

It is an arithmetic number, because the mean of its divisors is an integer number (3017664).

Almost surely, 2^226677456 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 226677456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362119680).

226677456 is an abundant number, since it is smaller than the sum of its proper divisors (497561904).

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

226677456 is a wasteful number, since it uses less digits than its factorization.

226677456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 226677456 is about 15055.8113697004. The cubic root of 226677456 is about 609.7279589613.

The spelling of 226677456 in words is "two hundred twenty-six million, six hundred seventy-seven thousand, four hundred fifty-six".