226479240 has 320 divisors, whose sum is σ = 865972800. Its totient is φ = 52627968.

The previous prime is 226479223. The next prime is 226479247. The reversal of 226479240 is 42974622.

226479240 = 22³ + 23³ + ... + 173³.

226479240 is a `hidden beast` number, since 2 + 2 + 647 + 9 + 2 + 4 + 0 = 666.

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 = 226479195 and 226479204.

It is not an unprimeable number, because it can be changed into a prime (226479247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 800139 + ... + 800421.

It is an arithmetic number, because the mean of its divisors is an integer number (2706165).

Almost surely, 2^226479240 is an apocalyptic number.

226479240 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 226479240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432986400).

226479240 is an abundant number, since it is smaller than the sum of its proper divisors (639493560).

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

226479240 is a wasteful number, since it uses less digits than its factorization.

226479240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 226479240 is about 15049.2272226849. The cubic root of 226479240 is about 609.5501834795.

The spelling of 226479240 in words is "two hundred twenty-six million, four hundred seventy-nine thousand, two hundred forty".