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222156 = 223311217
BaseRepresentation
bin110110001111001100
3102021202000
4312033030
524102111
64432300
71613454
oct661714
9367660
10222156
11141a00
12a8690
137a16c
145ad64
1545c56
hex363cc

222156 has 72 divisors (see below), whose sum is σ = 670320. Its totient is φ = 63360.

The previous prime is 222151. The next prime is 222161. The reversal of 222156 is 651222.

It is an interprime number because it is at equal distance from previous prime (222151) and next prime (222161).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 222156.

It is not an unprimeable number, because it can be changed into a prime (222151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13060 + ... + 13076.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

222156 is a Friedman number, since it can be written as 51*(2+2^6)^2, using all its digits and the basic arithmetic operations.

2222156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335160).

222156 is an abundant number, since it is smaller than the sum of its proper divisors (448164).

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

222156 is a wasteful number, since it uses less digits than its factorization.

222156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 33 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 222156 is about 471.3342762838. The cubic root of 222156 is about 60.5646691418.

Adding to 222156 its reverse (651222), we get a palindrome (873378).

It can be divided in two parts, 222 and 156, that added together give a triangular number (378 = T27).

The spelling of 222156 in words is "two hundred twenty-two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 121 132 153 187 198 204 242 297 306 363 374 396 459 484 561 594 612 726 748 918 1089 1122 1188 1452 1683 1836 2057 2178 2244 3267 3366 4114 4356 5049 6171 6534 6732 8228 10098 12342 13068 18513 20196 24684 37026 55539 74052 111078 222156