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222642 = 23371931
BaseRepresentation
bin110110010110110010
3102022102000
4312112302
524111032
64434430
71615050
oct662662
9368360
10222642
11142302
12a8a16
137a454
145b1d0
1545e7c
hex365b2

222642 has 64 divisors (see below), whose sum is σ = 614400. Its totient is φ = 58320.

The previous prime is 222619. The next prime is 222643. The reversal of 222642 is 246222.

It is a happy number.

222642 is a `hidden beast` number, since 2 + 22 + 642 = 666.

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 222642.

It is not an unprimeable number, because it can be changed into a prime (222643) by changing a digit.

222642 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7167 + ... + 7197.

It is an arithmetic number, because the mean of its divisors is an integer number (9600).

2222642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307200).

222642 is an abundant number, since it is smaller than the sum of its proper divisors (391758).

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

222642 is a wasteful number, since it uses less digits than its factorization.

222642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 222642 is about 471.8495522939. The cubic root of 222642 is about 60.6088017801.

Adding to 222642 its reverse (246222), we get a palindrome (468864).

The spelling of 222642 in words is "two hundred twenty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 31 38 42 54 57 62 63 93 114 126 133 171 186 189 217 266 279 342 378 399 434 513 558 589 651 798 837 1026 1178 1197 1302 1674 1767 1953 2394 3534 3591 3906 4123 5301 5859 7182 8246 10602 11718 12369 15903 24738 31806 37107 74214 111321 222642