226842560 has 336 divisors, whose sum is σ = 713012544. Its totient is φ = 68124672.

The previous prime is 226842559. The next prime is 226842563. The reversal of 226842560 is 65248622.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 226842560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226842563) by changing a digit.

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, 6130862 + ... + 6130898.

Almost surely, 2^226842560 is an apocalyptic number.

226842560 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 226842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356506272).

226842560 is an abundant number, since it is smaller than the sum of its proper divisors (486169984).

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

226842560 is a wasteful number, since it uses less digits than its factorization.

226842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 226842560 is about 15061.2934371521. The cubic root of 226842560 is about 609.8759579367.

The spelling of 226842560 in words is "two hundred twenty-six million, eight hundred forty-two thousand, five hundred sixty".