226463040 has 140 divisors (see below), whose sum is σ = 805661076. Its totient is φ = 60383232.

The previous prime is 226462981. The next prime is 226463077. The reversal of 226463040 is 40364622.

226463040 is a `hidden beast` number, since 2 + 26 + 4 + 630 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83612736 + 142850304 = 9144^2 + 11952^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 226462995 and 226463013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21552 + ... + 30288.

Almost surely, 2^226463040 is an apocalyptic number.

226463040 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 226463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402830538).

226463040 is an abundant number, since it is smaller than the sum of its proper divisors (579198036).

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

226463040 is an equidigital number, since it uses as much as digits as its factorization.

226463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 226463040 is about 15048.6889794427. The cubic root of 226463040 is about 609.5356494786.

The spelling of 226463040 in words is "two hundred twenty-six million, four hundred sixty-three thousand, forty".