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30222 = 2322373
BaseRepresentation
bin111011000001110
31112110100
413120032
51431342
6351530
7154053
oct73016
945410
1030222
1120785
12155a6
13109aa
14b02a
158e4c
hex760e

30222 has 24 divisors (see below), whose sum is σ = 69264. Its totient is φ = 9504.

The previous prime is 30211. The next prime is 30223. The reversal of 30222 is 22203.

Adding to 30222 its reverse (22203), we get a palindrome (52425).

It can be divided in two parts, 302 and 22, that added together give a square (324 = 182).

30222 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

30222 is a modest number, since divided by 222 gives 30 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30223) by changing a digit.

30222 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 11 ways as a sum of consecutive naturals, for example, 378 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (2886).

230222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34632).

30222 is an abundant number, since it is smaller than the sum of its proper divisors (39042).

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

30222 is a wasteful number, since it uses less digits than its factorization.

30222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 30222 is about 173.8447583334. The cubic root of 30222 is about 31.1487818436.

The spelling of 30222 in words is "thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 73 138 146 207 219 414 438 657 1314 1679 3358 5037 10074 15111 30222