227258880 has 160 divisors (see below), whose sum is σ = 735381504. Its totient is φ = 59867136.

The previous prime is 227258879. The next prime is 227258881. The reversal of 227258880 is 88852722.

It is an interprime number because it is at equal distance from previous prime (227258879) and next prime (227258881).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227258881) by changing a digit.

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, 975244 + ... + 975476.

Almost surely, 2^227258880 is an apocalyptic number.

227258880 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 227258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367690752).

227258880 is an abundant number, since it is smaller than the sum of its proper divisors (508122624).

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

227258880 is a wasteful number, since it uses less digits than its factorization.

227258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 227258880 is about 15075.1079598124. The cubic root of 227258880 is about 610.2488279848.

The spelling of 227258880 in words is "two hundred twenty-seven million, two hundred fifty-eight thousand, eight hundred eighty".