226240080 has 240 divisors, whose sum is σ = 821679552. Its totient is φ = 50892800.

The previous prime is 226240061. The next prime is 226240099. The reversal of 226240080 is 80042622.

It is an interprime number because it is at equal distance from previous prime (226240061) and next prime (226240099).

It is a tau number, because it is divible by the number of its divisors (240).

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 226240080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3186445 + ... + 3186515.

Almost surely, 2^226240080 is an apocalyptic number.

226240080 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 226240080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410839776).

226240080 is an abundant number, since it is smaller than the sum of its proper divisors (595439472).

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

226240080 is a wasteful number, since it uses less digits than its factorization.

226240080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 226240080 is about 15041.2792009190. The cubic root of 226240080 is about 609.3355481099.

The spelling of 226240080 in words is "two hundred twenty-six million, two hundred forty thousand, eighty".