226723200 has 384 divisors, whose sum is σ = 865123200. Its totient is φ = 51609600.

The previous prime is 226723193. The next prime is 226723223. The reversal of 226723200 is 2327622.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2006344 + ... + 2006456.

It is an arithmetic number, because the mean of its divisors is an integer number (2252925).

Almost surely, 2^226723200 is an apocalyptic number.

226723200 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 226723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432561600).

226723200 is an abundant number, since it is smaller than the sum of its proper divisors (638400000).

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

226723200 is a wasteful number, since it uses less digits than its factorization.

226723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 226723200 is about 15057.3304406857. The cubic root of 226723200 is about 609.7689710089.

The spelling of 226723200 in words is "two hundred twenty-six million, seven hundred twenty-three thousand, two hundred".