Search a number
-
+
227280 = 2435947
BaseRepresentation
bin110111011111010000
3102112202210
4313133100
524233110
64512120
71634424
oct673720
9375683
10227280
11145839
12ab640
137c5b1
145cb84
1547520
hex377d0

227280 has 40 divisors (see below), whose sum is σ = 705312. Its totient is φ = 60544.

The previous prime is 227267. The next prime is 227281. The reversal of 227280 is 82722.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227281) by changing a digit.

227280 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 234 + ... + 713.

2227280 is an apocalyptic number.

227280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

227280 is an abundant number, since it is smaller than the sum of its proper divisors (478032).

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

227280 is a wasteful number, since it uses less digits than its factorization.

227280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 227280 is about 476.7389222625. The cubic root of 227280 is about 61.0267731619.

The spelling of 227280 in words is "two hundred twenty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 947 1894 2841 3788 4735 5682 7576 9470 11364 14205 15152 18940 22728 28410 37880 45456 56820 75760 113640 227280