226237440 has 352 divisors, whose sum is σ = 858364416. Its totient is φ = 50135040.

The previous prime is 226237423. The next prime is 226237481. The reversal of 226237440 is 44732622.

It is a tau number, because it is divible by the number of its divisors (352).

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 = 226237398 and 226237407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196429 + ... + 2196531.

Almost surely, 2^226237440 is an apocalyptic number.

226237440 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 226237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429182208).

226237440 is an abundant number, since it is smaller than the sum of its proper divisors (632126976).

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

226237440 is a wasteful number, since it uses less digits than its factorization.

226237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 226237440 is about 15041.1914421697. The cubic root of 226237440 is about 609.3331779845. Note that the first 3 decimals are identical.

The spelling of 226237440 in words is "two hundred twenty-six million, two hundred thirty-seven thousand, four hundred forty".