226404288 has 224 divisors, whose sum is σ = 745662720. Its totient is φ = 66769920.

The previous prime is 226404281. The next prime is 226404293. The reversal of 226404288 is 882404622.

It is a happy number.

226404288 is a `hidden beast` number, since 2 + 2 + 640 + 4 + 2 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226404281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817206 + ... + 817482.

Almost surely, 2^226404288 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 226404288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372831360).

226404288 is an abundant number, since it is smaller than the sum of its proper divisors (519258432).

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

226404288 is a wasteful number, since it uses less digits than its factorization.

226404288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 226404288 is about 15046.7367890849. The cubic root of 226404288 is about 609.4829336862.

The spelling of 226404288 in words is "two hundred twenty-six million, four hundred four thousand, two hundred eighty-eight".