226867200 has 288 divisors, whose sum is σ = 861194880. Its totient is φ = 51609600.

The previous prime is 226867187. The next prime is 226867231. The reversal of 226867200 is 2768622.

It is a congruent number.

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, 1075095 + ... + 1075305.

It is an arithmetic number, because the mean of its divisors is an integer number (2990260).

Almost surely, 2^226867200 is an apocalyptic number.

226867200 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 226867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430597440).

226867200 is an abundant number, since it is smaller than the sum of its proper divisors (634327680).

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

226867200 is a wasteful number, since it uses less digits than its factorization.

226867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 226867200 is about 15062.1114057758. Note that the first 3 decimals coincide. The cubic root of 226867200 is about 609.8980390364.

The spelling of 226867200 in words is "two hundred twenty-six million, eight hundred sixty-seven thousand, two hundred".