226589280 has 96 divisors (see below), whose sum is σ = 715889664. Its totient is φ = 60243456.

The previous prime is 226589273. The next prime is 226589281. The reversal of 226589280 is 82985622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226589281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262129 + ... + 262991.

It is an arithmetic number, because the mean of its divisors is an integer number (7457184).

Almost surely, 2^226589280 is an apocalyptic number.

226589280 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 226589280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357944832).

226589280 is an abundant number, since it is smaller than the sum of its proper divisors (489300384).

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

226589280 is a wasteful number, since it uses less digits than its factorization.

226589280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 226589280 is about 15052.8827803846. The cubic root of 226589280 is about 609.6488886880.

The spelling of 226589280 in words is "two hundred twenty-six million, five hundred eighty-nine thousand, two hundred eighty".