227920160 has 72 divisors (see below), whose sum is σ = 583136820. Its totient is φ = 84145152.

The previous prime is 227920159. The next prime is 227920211. The reversal of 227920160 is 61029722.

It can be written as a sum of positive squares in 6 ways, for example, as 4477456 + 223442704 = 2116^2 + 14948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22826 + ... + 31254.

Almost surely, 2^227920160 is an apocalyptic number.

227920160 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 227920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291568410).

227920160 is an abundant number, since it is smaller than the sum of its proper divisors (355216660).

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

227920160 is a wasteful number, since it uses less digits than its factorization.

227920160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8470 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 227920160 is about 15097.0248724707. The cubic root of 227920160 is about 610.8401573727.

Adding to 227920160 its reverse (61029722), we get a palindrome (288949882).

The spelling of 227920160 in words is "two hundred twenty-seven million, nine hundred twenty thousand, one hundred sixty".