226882040 has 128 divisors (see below), whose sum is σ = 670118400. Its totient is φ = 66977280.

The previous prime is 226882037. The next prime is 226882043. The reversal of 226882040 is 40288622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (226882037) and next prime (226882043).

It is a junction number, because it is equal to n+sod(n) for n = 226881988 and 226882006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226882043) 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, 56582 + ... + 60458.

It is an arithmetic number, because the mean of its divisors is an integer number (5235300).

Almost surely, 2^226882040 is an apocalyptic number.

226882040 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 226882040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335059200).

226882040 is an abundant number, since it is smaller than the sum of its proper divisors (443236360).

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

226882040 is a wasteful number, since it uses less digits than its factorization.

226882040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 226882040 is about 15062.6040245371. The cubic root of 226882040 is about 609.9113371091.

The spelling of 226882040 in words is "two hundred twenty-six million, eight hundred eighty-two thousand, forty".