226273824 has 144 divisors (see below), whose sum is σ = 762810048. Its totient is φ = 64634112.

The previous prime is 226273819. The next prime is 226273843. The reversal of 226273824 is 428372622.

It is a happy number.

226273824 is a `hidden beast` number, since 2 + 2 + 627 + 3 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52354 + ... + 56510.

It is an arithmetic number, because the mean of its divisors is an integer number (5297292).

Almost surely, 2^226273824 is an apocalyptic number.

226273824 is a gapful number since it is divisible by the number (24) 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 226273824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381405024).

226273824 is an abundant number, since it is smaller than the sum of its proper divisors (536536224).

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

226273824 is an equidigital number, since it uses as much as digits as its factorization.

226273824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4169 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 226273824 is about 15042.4008722012. The cubic root of 226273824 is about 609.3658409984.

The spelling of 226273824 in words is "two hundred twenty-six million, two hundred seventy-three thousand, eight hundred twenty-four".