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66222 = 23213283
BaseRepresentation
bin10000001010101110
310100211200
4100022232
54104342
61230330
7364032
oct201256
9110750
1066222
1145832
12323a6
13241b0
141a1c2
151494c
hex102ae

66222 has 24 divisors (see below), whose sum is σ = 155064. Its totient is φ = 20304.

The previous prime is 66221. The next prime is 66239. The reversal of 66222 is 22266.

Adding to 66222 its reverse (22266), we get a palindrome (88488).

Subtracting from 66222 its reverse (22266), we obtain a triangular number (43956 = T296).

66222 is a `hidden beast` number, since 662 + 2 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

66222 is a modest number, since divided by 222 gives 66 as remainder.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66195 and 66204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (6461).

266222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77532).

66222 is an abundant number, since it is smaller than the sum of its proper divisors (88842).

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

66222 is a wasteful number, since it uses less digits than its factorization.

66222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 301 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 66222 is about 257.3363557681. The cubic root of 66222 is about 40.4576603708.

The spelling of 66222 in words is "sixty-six thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 283 566 849 1698 2547 3679 5094 7358 11037 22074 33111 66222