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228160 = 2652331
BaseRepresentation
bin110111101101000000
3102120222101
4313231000
524300120
64520144
71640122
oct675500
9376871
10228160
11146469
12b0054
137cb0a
145d212
154790a
hex37b40

228160 has 56 divisors (see below), whose sum is σ = 585216. Its totient is φ = 84480.

The previous prime is 228139. The next prime is 228181. The reversal of 228160 is 61822.

It is a happy number.

228160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228139) and next prime (228181).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7345 + ... + 7375.

2228160 is an apocalyptic number.

228160 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 228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292608).

228160 is an abundant number, since it is smaller than the sum of its proper divisors (357056).

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

228160 is a wasteful number, since it uses less digits than its factorization.

228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 228160 is about 477.6609676329. The cubic root of 228160 is about 61.1054344283.

Multiplying 228160 by its sum of digits (19), we get a triangular number (4335040 = T2944).

Adding to 228160 its reverse (61822), we get a palindrome (289982).

The spelling of 228160 in words is "two hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 46 62 64 80 92 115 124 155 160 184 230 248 310 320 368 460 496 620 713 736 920 992 1240 1426 1472 1840 1984 2480 2852 3565 3680 4960 5704 7130 7360 9920 11408 14260 22816 28520 45632 57040 114080 228160