226167440 has 40 divisors (see below), whose sum is σ = 527462520. Its totient is φ = 90187776.

The previous prime is 226167427. The next prime is 226167451. The reversal of 226167440 is 44761622.

It can be written as a sum of positive squares in 4 ways, for example, as 35617024 + 190550416 = 5968^2 + 13804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 226167397 and 226167406.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22766 + ... + 31154.

It is an arithmetic number, because the mean of its divisors is an integer number (13186563).

Almost surely, 2^226167440 is an apocalyptic number.

226167440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226167440 is an abundant number, since it is smaller than the sum of its proper divisors (301295080).

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

226167440 is a wasteful number, since it uses less digits than its factorization.

226167440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8739 (or 8733 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 226167440 is about 15038.8643188241. The cubic root of 226167440 is about 609.2703270223.

The spelling of 226167440 in words is "two hundred twenty-six million, one hundred sixty-seven thousand, four hundred forty".