226429344 has 144 divisors (see below), whose sum is σ = 686675808. Its totient is φ = 73343232.

The previous prime is 226429321. The next prime is 226429349. The reversal of 226429344 is 443924622.

226429344 is a `hidden beast` number, since 2 + 2 + 642 + 9 + 3 + 4 + 4 = 666.

226429344 is digitally balanced in base 2, 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 (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 a junction number, because it is equal to n+sod(n) for n = 226429299 and 226429308.

It is not an unprimeable number, because it can be changed into a prime (226429349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287319 + ... + 288105.

It is an arithmetic number, because the mean of its divisors is an integer number (4768582).

Almost surely, 2^226429344 is an apocalyptic number.

226429344 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 226429344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343337904).

226429344 is an abundant number, since it is smaller than the sum of its proper divisors (460246464).

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

226429344 is an equidigital number, since it uses as much as digits as its factorization.

226429344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 829 counting only the distinct ones).

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

The square root of 226429344 is about 15047.5693718288. The cubic root of 226429344 is about 609.5054165364.

The spelling of 226429344 in words is "two hundred twenty-six million, four hundred twenty-nine thousand, three hundred forty-four".