226088448 has 160 divisors (see below), whose sum is σ = 649482240. Its totient is φ = 69672960.

The previous prime is 226088393. The next prime is 226088449. The reversal of 226088448 is 844880622.

It is a super-2 number, since 2×226088448² = 102231972638097408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226088449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1780161 + ... + 1780287.

It is an arithmetic number, because the mean of its divisors is an integer number (4059264).

Almost surely, 2^226088448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226088448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324741120).

226088448 is an abundant number, since it is smaller than the sum of its proper divisors (423393792).

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

226088448 is a wasteful number, since it uses less digits than its factorization.

226088448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 226088448 is about 15036.2378273290. The cubic root of 226088448 is about 609.1993868289.

The spelling of 226088448 in words is "two hundred twenty-six million, eighty-eight thousand, four hundred forty-eight".