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138222 = 23271097
BaseRepresentation
bin100001101111101110
321000121100
4201233232
513410342
62543530
71113660
oct415756
9230540
10138222
1194937
1267ba6
134abb6
1438530
152ae4c
hex21bee

138222 has 24 divisors (see below), whose sum is σ = 342576. Its totient is φ = 39456.

The previous prime is 138209. The next prime is 138239. The reversal of 138222 is 222831.

It is a happy number.

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

138222 is a modest number, since divided by 222 gives 138 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 138195 and 138204.

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 138222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (14274).

2138222 is an apocalyptic number.

138222 is an abundant number, since it is smaller than the sum of its proper divisors (204354).

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

138222 is a wasteful number, since it uses less digits than its factorization.

138222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1109 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 138222 is about 371.7821943020. The cubic root of 138222 is about 51.7041882606.

It can be divided in two parts, 13822 and 2, that added together give a cube (13824 = 243).

The spelling of 138222 in words is "one hundred thirty-eight thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1097 2194 3291 6582 7679 9873 15358 19746 23037 46074 69111 138222