226944223200 has 288 divisors, whose sum is σ = 863982201600. Its totient is φ = 57333173760.

The previous prime is 226944223159. The next prime is 226944223211. The reversal of 226944223200 is 2322449622.

226944223200 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 442 + 2 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×226944223200³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 133909 + ... + 686891.

It is an arithmetic number, because the mean of its divisors is an integer number (2999938200).

Almost surely, 2^226944223200 is an apocalyptic number.

226944223200 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 226944223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431991100800).

226944223200 is an abundant number, since it is smaller than the sum of its proper divisors (637037978400).

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

226944223200 is a wasteful number, since it uses less digits than its factorization.

226944223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553031 (or 553012 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 226944223200 in words is "two hundred twenty-six billion, nine hundred forty-four million, two hundred twenty-three thousand, two hundred".