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39222 = 2322179
BaseRepresentation
bin1001100100110110
31222210200
421210312
52223342
6501330
7222231
oct114466
958720
1039222
1127517
121a846
1314b11
1410418
15b94c
hex9936

39222 has 12 divisors (see below), whose sum is σ = 85020. Its totient is φ = 13068.

The previous prime is 39217. The next prime is 39227. The reversal of 39222 is 22293.

39222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39217) and next prime (39227).

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2179 = 39222 / (3 + 9 + 2 + 2 + 2).

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

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 39195 and 39204.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39222.

It is not an unprimeable number, because it can be changed into a prime (39227) by changing a digit.

39222 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 5 ways as a sum of consecutive naturals, for example, 1072 + ... + 1107.

It is an arithmetic number, because the mean of its divisors is an integer number (7085).

239222 is an apocalyptic number.

39222 is an abundant number, since it is smaller than the sum of its proper divisors (45798).

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

39222 is a wasteful number, since it uses less digits than its factorization.

39222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2184 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 39222 is about 198.0454493292. The cubic root of 39222 is about 33.9763387855.

Subtracting from 39222 its sum of digits (18), we obtain a square (39204 = 1982).

It can be divided in two parts, 392 and 22, that added together give a palindrome (414).

The spelling of 39222 in words is "thirty-nine thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 2179 4358 6537 13074 19611 39222