227083680 has 144 divisors (see below), whose sum is σ = 800077824. Its totient is φ = 58590720.

The previous prime is 227083679. The next prime is 227083697. The reversal of 227083680 is 86380722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42097 + ... + 47183.

It is an arithmetic number, because the mean of its divisors is an integer number (5556096).

Almost surely, 2^227083680 is an apocalyptic number.

227083680 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 227083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400038912).

227083680 is an abundant number, since it is smaller than the sum of its proper divisors (572994144).

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

227083680 is a wasteful number, since it uses less digits than its factorization.

227083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 227083680 is about 15069.2959357762. The cubic root of 227083680 is about 610.0919685754.

The spelling of 227083680 in words is "two hundred twenty-seven million, eighty-three thousand, six hundred eighty".