226185120 has 288 divisors, whose sum is σ = 929335680. Its totient is φ = 48936960.

The previous prime is 226185077. The next prime is 226185121. The reversal of 226185120 is 21581622.

It is a happy number.

226185120 is a `hidden beast` number, since 22 + 618 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (226185121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190930 + ... + 192110.

It is an arithmetic number, because the mean of its divisors is an integer number (3226860).

Almost surely, 2^226185120 is an apocalyptic number.

226185120 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 226185120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464667840).

226185120 is an abundant number, since it is smaller than the sum of its proper divisors (703150560).

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

226185120 is a wasteful number, since it uses less digits than its factorization.

226185120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 226185120 is about 15039.4521176804. The cubic root of 226185120 is about 609.2862026036.

The spelling of 226185120 in words is "two hundred twenty-six million, one hundred eighty-five thousand, one hundred twenty".