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222180 = 22357232
BaseRepresentation
bin110110001111100100
3102021202220
4312033210
524102210
64432340
71613520
oct661744
9367686
10222180
11141a22
12a86b0
137a18a
145ad80
1545c70
hex363e4

222180 has 72 divisors (see below), whose sum is σ = 743232. Its totient is φ = 48576.

The previous prime is 222163. The next prime is 222193. The reversal of 222180 is 81222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 222180.

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, 9649 + ... + 9671.

2222180 is an apocalyptic number.

222180 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 222180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371616).

222180 is an abundant number, since it is smaller than the sum of its proper divisors (521052).

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

222180 is a wasteful number, since it uses less digits than its factorization.

222180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 222180 is about 471.3597352341. The cubic root of 222180 is about 60.5668500413.

The spelling of 222180 in words is "two hundred twenty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 529 644 690 805 966 1058 1380 1587 1610 1932 2116 2415 2645 3174 3220 3703 4830 5290 6348 7406 7935 9660 10580 11109 14812 15870 18515 22218 31740 37030 44436 55545 74060 111090 222180