226188072 has 128 divisors (see below), whose sum is σ = 715392000. Its totient is φ = 65545920.

The previous prime is 226188029. The next prime is 226188073. The reversal of 226188072 is 270881622.

It is a happy number.

226188072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×226188072² = 102322087830154368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226188073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52579 + ... + 56717.

It is an arithmetic number, because the mean of its divisors is an integer number (5589000).

Almost surely, 2^226188072 is an apocalyptic number.

226188072 is a gapful number since it is divisible by the number (22) 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 226188072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357696000).

226188072 is an abundant number, since it is smaller than the sum of its proper divisors (489203928).

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

226188072 is a wasteful number, since it uses less digits than its factorization.

226188072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 226188072 is about 15039.5502592332. The cubic root of 226188072 is about 609.2888532422.

The spelling of 226188072 in words is "two hundred twenty-six million, one hundred eighty-eight thousand, seventy-two".