227368960 has 224 divisors, whose sum is σ = 682581312. Its totient is φ = 70778880.

The previous prime is 227368951. The next prime is 227368969. The reversal of 227368960 is 69863722.

It is an interprime number because it is at equal distance from previous prime (227368951) and next prime (227368969).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227368969) 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, 3727330 + ... + 3727390.

It is an arithmetic number, because the mean of its divisors is an integer number (3047238).

Almost surely, 2^227368960 is an apocalyptic number.

227368960 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 227368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341290656).

227368960 is an abundant number, since it is smaller than the sum of its proper divisors (455212352).

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

227368960 is an equidigital number, since it uses as much as digits as its factorization.

227368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 227368960 is about 15078.7585695905. The cubic root of 227368960 is about 610.3473431637.

The spelling of 227368960 in words is "two hundred twenty-seven million, three hundred sixty-eight thousand, nine hundred sixty".