226802400 has 288 divisors, whose sum is σ = 823447296. Its totient is φ = 54208000.

The previous prime is 226802399. The next prime is 226802419. The reversal of 226802400 is 4208622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3194365 + ... + 3194435.

It is an arithmetic number, because the mean of its divisors is an integer number (2859192).

Almost surely, 2^226802400 is an apocalyptic number.

226802400 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 226802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411723648).

226802400 is an abundant number, since it is smaller than the sum of its proper divisors (596644896).

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

226802400 is a wasteful number, since it uses less digits than its factorization.

226802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 226802400 is about 15059.9601593099. The cubic root of 226802400 is about 609.8399651847.

The spelling of 226802400 in words is "two hundred twenty-six million, eight hundred two thousand, four hundred".