226282560 has 224 divisors, whose sum is σ = 830226432. Its totient is φ = 51148800.

The previous prime is 226282559. The next prime is 226282591. The reversal of 226282560 is 65282622.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 1014609 + ... + 1014831.

It is an arithmetic number, because the mean of its divisors is an integer number (3706368).

Almost surely, 2^226282560 is an apocalyptic number.

226282560 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 226282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415113216).

226282560 is an abundant number, since it is smaller than the sum of its proper divisors (603943872).

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

226282560 is a wasteful number, since it uses less digits than its factorization.

226282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 226282560 is about 15042.6912485765. The cubic root of 226282560 is about 609.3736830478.

The spelling of 226282560 in words is "two hundred twenty-six million, two hundred eighty-two thousand, five hundred sixty".