226753344 has 280 divisors, whose sum is σ = 743516928. Its totient is φ = 68014080.

The previous prime is 226753337. The next prime is 226753357. The reversal of 226753344 is 443357622.

226753344 is a `hidden beast` number, since 2 + 267 + 53 + 344 = 666.

226753344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 226753299 and 226753308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2731927 + ... + 2732009.

Almost surely, 2^226753344 is an apocalyptic number.

226753344 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 226753344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371758464).

226753344 is an abundant number, since it is smaller than the sum of its proper divisors (516763584).

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

226753344 is a wasteful number, since it uses less digits than its factorization.

226753344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 226753344 is about 15058.3313816638. The cubic root of 226753344 is about 609.7959937710.

It can be divided in two parts, 2267 and 53344, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 226753344 in words is "two hundred twenty-six million, seven hundred fifty-three thousand, three hundred forty-four".