226167120 has 80 divisors (see below), whose sum is σ = 779027520. Its totient is φ = 60310656.

The previous prime is 226167107. The next prime is 226167121. The reversal of 226167120 is 21761622.

226167120 is a `hidden beast` number, since 22 + 616 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226167121) 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, 50194 + ... + 54513.

It is an arithmetic number, because the mean of its divisors is an integer number (9737844).

Almost surely, 2^226167120 is an apocalyptic number.

226167120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226167120 is an abundant number, since it is smaller than the sum of its proper divisors (552860400).

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

226167120 is a wasteful number, since it uses less digits than its factorization.

226167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104729 (or 104717 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 226167120 is about 15038.8536797191. The cubic root of 226167120 is about 609.2700396739.

The spelling of 226167120 in words is "two hundred twenty-six million, one hundred sixty-seven thousand, one hundred twenty".