226872919200 has 288 divisors, whose sum is σ = 760337335296. Its totient is φ = 58725596160.

The previous prime is 226872919193. The next prime is 226872919223. The reversal of 226872919200 is 2919278622.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 226872919200.

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, 16814857 + ... + 16828343.

It is an arithmetic number, because the mean of its divisors is an integer number (2640060192).

Almost surely, 2^226872919200 is an apocalyptic number.

226872919200 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 226872919200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380168667648).

226872919200 is an abundant number, since it is smaller than the sum of its proper divisors (533464416096).

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

226872919200 is a wasteful number, since it uses less digits than its factorization.

226872919200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13716 (or 13703 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 226872919200 in words is "two hundred twenty-six billion, eight hundred seventy-two million, nine hundred nineteen thousand, two hundred".