226400040 has 192 divisors, whose sum is σ = 789609600. Its totient is φ = 56111616.

The previous prime is 226400021. The next prime is 226400089. The reversal of 226400040 is 40004622.

226400040 is a `hidden beast` number, since 22 + 640 + 0 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×226400040² = 102513956224003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 226399986 and 226400022.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305991 + ... + 306729.

It is an arithmetic number, because the mean of its divisors is an integer number (4112550).

Almost surely, 2^226400040 is an apocalyptic number.

226400040 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 226400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394804800).

226400040 is an abundant number, since it is smaller than the sum of its proper divisors (563209560).

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

226400040 is a wasteful number, since it uses less digits than its factorization.

226400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 226400040 is about 15046.5956282476. The cubic root of 226400040 is about 609.4791217741.

Adding to 226400040 its reverse (40004622), we get a palindrome (266404662).

The spelling of 226400040 in words is "two hundred twenty-six million, four hundred thousand, forty".