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222000 = 2435337
BaseRepresentation
bin110110001100110000
3102021112020
4312030300
524101000
64431440
71613142
oct661460
9367466
10222000
11141879
12a8580
137a07c
145ac92
1545ba0
hex36330

222000 has 80 divisors (see below), whose sum is σ = 735072. Its totient is φ = 57600.

The previous prime is 221999. The next prime is 222007. The reversal of 222000 is 222.

222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 222000.

It is not an unprimeable number, because it can be changed into a prime (222007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5982 + ... + 6018.

2222000 is an apocalyptic number.

222000 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 222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367536).

222000 is an abundant number, since it is smaller than the sum of its proper divisors (513072).

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

222000 is a wasteful number, since it uses less digits than its factorization.

222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 222000 is about 471.1687595756. The cubic root of 222000 is about 60.5504894651.

Adding to 222000 its reverse (222), we get a palindrome (222222).

222000 divided by its reverse (222) gives a cube (1000 = 103).

The spelling of 222000 in words is "two hundred twenty-two thousand", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 11100 13875 14800 18500 22200 27750 37000 44400 55500 74000 111000 222000