226006080 has 112 divisors (see below), whose sum is σ = 732983040. Its totient is φ = 58974208.

The previous prime is 226006069. The next prime is 226006093. The reversal of 226006080 is 80600622.

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 226006080.

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 15 ways as a sum of consecutive naturals, for example, 42616 + ... + 47624.

Almost surely, 2^226006080 is an apocalyptic number.

226006080 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 226006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366491520).

226006080 is an abundant number, since it is smaller than the sum of its proper divisors (506976960).

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

226006080 is a wasteful number, since it uses less digits than its factorization.

226006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 226006080 is about 15033.4985948049. The cubic root of 226006080 is about 609.1253971575.

It can be divided in two parts, 22600 and 6080, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 226006080 in words is "two hundred twenty-six million, six thousand, eighty".