226501440 has 224 divisors, whose sum is σ = 796625280. Its totient is φ = 54067200.

The previous prime is 226501433. The next prime is 226501441. The reversal of 226501440 is 44105622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 226501440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226501441) 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, 939720 + ... + 939960.

Almost surely, 2^226501440 is an apocalyptic number.

226501440 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 226501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398312640).

226501440 is an abundant number, since it is smaller than the sum of its proper divisors (570123840).

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

226501440 is a wasteful number, since it uses less digits than its factorization.

226501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 226501440 is about 15049.9647840120. The cubic root of 226501440 is about 609.5700993181.

It can be divided in two parts, 22650 and 1440, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 226501440 in words is "two hundred twenty-six million, five hundred one thousand, four hundred forty".