226471140 has 252 divisors, whose sum is σ = 832092156. Its totient is φ = 51601536.

The previous prime is 226471139. The next prime is 226471163. The reversal of 226471140 is 41174622.

226471140 is a `hidden beast` number, since 2 + 2 + 647 + 1 + 14 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41293476 + 185177664 = 6426^2 + 13608^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 714262 + ... + 714578.

It is an arithmetic number, because the mean of its divisors is an integer number (3301953).

Almost surely, 2^226471140 is an apocalyptic number.

226471140 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 226471140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416046078).

226471140 is an abundant number, since it is smaller than the sum of its proper divisors (605621016).

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

226471140 is a wasteful number, since it uses less digits than its factorization.

226471140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 226471140 is about 15048.9581034702. The cubic root of 226471140 is about 609.5429165657.

The spelling of 226471140 in words is "two hundred twenty-six million, four hundred seventy-one thousand, one hundred forty".