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227808 = 25327113
BaseRepresentation
bin110111100111100000
3102120111100
4313213200
524242213
64514400
71636110
oct674740
9376440
10227808
11146179
12aba00
137c8c9
145d040
1547773
hex379e0

227808 has 72 divisors (see below), whose sum is σ = 746928. Its totient is φ = 64512.

The previous prime is 227797. The next prime is 227827. The reversal of 227808 is 808722.

It can be divided in two parts, 227 and 808, that added together give a triangular number (1035 = T45).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 1960 + ... + 2072.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2227808 is an apocalyptic number.

227808 is a gapful number since it is divisible by the number (28) 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 227808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464).

227808 is an abundant number, since it is smaller than the sum of its proper divisors (519120).

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

227808 is a wasteful number, since it uses less digits than its factorization.

227808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 227808 is about 477.2923632324. The cubic root of 227808 is about 61.0739942348.

The spelling of 227808 in words is "two hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 113 126 144 168 224 226 252 288 336 339 452 504 672 678 791 904 1008 1017 1356 1582 1808 2016 2034 2373 2712 3164 3616 4068 4746 5424 6328 7119 8136 9492 10848 12656 14238 16272 18984 25312 28476 32544 37968 56952 75936 113904 227808