226057440 has 192 divisors, whose sum is σ = 856880640. Its totient is φ = 48936960.

The previous prime is 226057439. The next prime is 226057453. The reversal of 226057440 is 44750622.

226057440 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 2×226057440² = 102203932358707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 226057398 and 226057407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62070 + ... + 65610.

It is an arithmetic number, because the mean of its divisors is an integer number (4462920).

Almost surely, 2^226057440 is an apocalyptic number.

226057440 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 226057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428440320).

226057440 is an abundant number, since it is smaller than the sum of its proper divisors (630823200).

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

226057440 is a wasteful number, since it uses less digits than its factorization.

226057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 226057440 is about 15035.2066829824. The cubic root of 226057440 is about 609.1715350178.

The spelling of 226057440 in words is "two hundred twenty-six million, fifty-seven thousand, four hundred forty".