226802880 has 168 divisors, whose sum is σ = 793510224. Its totient is φ = 59443200.

The previous prime is 226802869. The next prime is 226802893. The reversal of 226802880 is 88208622.

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, 175035 + ... + 176325.

Almost surely, 2^226802880 is an apocalyptic number.

226802880 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 226802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396755112).

226802880 is an abundant number, since it is smaller than the sum of its proper divisors (566707344).

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

226802880 is a wasteful number, since it uses less digits than its factorization.

226802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 226802880 is about 15059.9760955986. The cubic root of 226802880 is about 609.8403954021.

The spelling of 226802880 in words is "two hundred twenty-six million, eight hundred two thousand, eight hundred eighty".