227088144 has 120 divisors (see below), whose sum is σ = 674763360. Its totient is φ = 73120320.

The previous prime is 227088137. The next prime is 227088151. The reversal of 227088144 is 441880722.

It is an interprime number because it is at equal distance from previous prime (227088137) and next prime (227088151).

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

It is a junction number, because it is equal to n+sod(n) for n = 227088099 and 227088108.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 414879 + ... + 415425.

It is an arithmetic number, because the mean of its divisors is an integer number (5623028).

Almost surely, 2^227088144 is an apocalyptic number.

227088144 is a gapful number since it is divisible by the number (24) 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 227088144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337381680).

227088144 is an abundant number, since it is smaller than the sum of its proper divisors (447675216).

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

227088144 is a wasteful number, since it uses less digits than its factorization.

227088144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 227088144 is about 15069.4440507936. Note that the first 3 decimals coincide. The cubic root of 227088144 is about 610.0959662686.

The spelling of 227088144 in words is "two hundred twenty-seven million, eighty-eight thousand, one hundred forty-four".