227273760 has 216 divisors, whose sum is σ = 902475756. Its totient is φ = 51932160.

The previous prime is 227273737. The next prime is 227273771. The reversal of 227273760 is 67372722.

It can be written as a sum of positive squares in 2 ways, for example, as 226081296 + 1192464 = 15036^2 + 1092^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68950 + ... + 72170.

Almost surely, 2^227273760 is an apocalyptic number.

227273760 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 227273760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451237878).

227273760 is an abundant number, since it is smaller than the sum of its proper divisors (675201996).

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

227273760 is a wasteful number, since it uses less digits than its factorization.

227273760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 227273760 is about 15075.6014805380. The cubic root of 227273760 is about 610.2621465761.

The spelling of 227273760 in words is "two hundred twenty-seven million, two hundred seventy-three thousand, seven hundred sixty".