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228780 = 223253141
BaseRepresentation
bin110111110110101100
3102121211100
4313312230
524310110
64523100
71641666
oct676654
9377740
10228780
11146982
12b0490
1380196
145d536
1547bc0
hex37dac

228780 has 72 divisors (see below), whose sum is σ = 733824. Its totient is φ = 57600.

The previous prime is 228773. The next prime is 228793. The reversal of 228780 is 87822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5560 + ... + 5600.

It is an arithmetic number, because the mean of its divisors is an integer number (10192).

2228780 is an apocalyptic number.

228780 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 228780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912).

228780 is an abundant number, since it is smaller than the sum of its proper divisors (505044).

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

228780 is a wasteful number, since it uses less digits than its factorization.

228780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 82 counting only the distinct ones).

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

The square root of 228780 is about 478.3095232169. The cubic root of 228780 is about 61.1607334942.

It can be divided in two parts, 2 and 28780, that added together give a palindrome (28782).

The spelling of 228780 in words is "two hundred twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 41 45 60 62 82 90 93 123 124 155 164 180 186 205 246 279 310 369 372 410 465 492 558 615 620 738 820 930 1116 1230 1271 1395 1476 1845 1860 2460 2542 2790 3690 3813 5084 5580 6355 7380 7626 11439 12710 15252 19065 22878 25420 38130 45756 57195 76260 114390 228780