226195200 has 864 divisors, whose sum is σ = 1094929920. Its totient is φ = 44236800.

The previous prime is 226195163. The next prime is 226195213. The reversal of 226195200 is 2591622.

226195200 is a `hidden beast` number, since 22 + 619 + 5 + 20 + 0 = 666.

226195200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13305592 + ... + 13305608.

It is an arithmetic number, because the mean of its divisors is an integer number (1267280).

Almost surely, 2^226195200 is an apocalyptic number.

226195200 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 226195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547464960).

226195200 is an abundant number, since it is smaller than the sum of its proper divisors (868734720).

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

226195200 is a wasteful number, since it uses less digits than its factorization.

226195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 226195200 is about 15039.7872325376. The cubic root of 226195200 is about 609.2952534697.

It can be divided in two parts, 2261 and 95200, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 226195200 in words is "two hundred twenty-six million, one hundred ninety-five thousand, two hundred".