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227264 = 265367
BaseRepresentation
bin110111011111000000
3102112202012
4313133000
524233024
64512052
71634402
oct673700
9375665
10227264
11145824
12ab628
137c59b
145cb72
154750e
hex377c0

227264 has 28 divisors (see below), whose sum is σ = 466344. Its totient is φ = 109824.

The previous prime is 227257. The next prime is 227267. The reversal of 227264 is 462722.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227267) by changing a digit.

227264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3359 + ... + 3425.

2227264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233172).

227264 is an abundant number, since it is smaller than the sum of its proper divisors (239080).

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

227264 is an equidigital number, since it uses as much as digits as its factorization.

227264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 227264 is about 476.7221412941. The cubic root of 227264 is about 61.0253410792.

Adding to 227264 its reverse (462722), we get a palindrome (689986).

The spelling of 227264 in words is "two hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 64 67 106 134 212 268 424 536 848 1072 1696 2144 3392 3551 4288 7102 14204 28408 56816 113632 227264