227101680 has 240 divisors, whose sum is σ = 865257120. Its totient is φ = 52918272.

The previous prime is 227101669. The next prime is 227101687. The reversal of 227101680 is 86101722.

227101680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227101687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177202 + ... + 178478.

It is an arithmetic number, because the mean of its divisors is an integer number (3605238).

Almost surely, 2^227101680 is an apocalyptic number.

227101680 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 227101680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432628560).

227101680 is an abundant number, since it is smaller than the sum of its proper divisors (638155440).

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

227101680 is a wasteful number, since it uses less digits than its factorization.

227101680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 227101680 is about 15069.8931648502. The cubic root of 227101680 is about 610.1080879860.

The spelling of 227101680 in words is "two hundred twenty-seven million, one hundred one thousand, six hundred eighty".