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123222 = 23111867
BaseRepresentation
bin11110000101010110
320021000210
4132011112
512420342
62350250
71022151
oct360526
9207023
10123222
1184640
125b386
1344118
1432c98
152679c
hex1e156

123222 has 16 divisors (see below), whose sum is σ = 268992. Its totient is φ = 37320.

The previous prime is 123217. The next prime is 123229. The reversal of 123222 is 222321.

It is a super-3 number, since 3×1232223 = 5612883332211144, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 123198 and 123207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 868 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (16812).

2123222 is an apocalyptic number.

123222 is an abundant number, since it is smaller than the sum of its proper divisors (145770).

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

123222 is a wasteful number, since it uses less digits than its factorization.

123222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883.

The product of its digits is 48, while the sum is 12.

The square root of 123222 is about 351.0299132553. The cubic root of 123222 is about 49.7618003539.

Adding to 123222 its reverse (222321), we get a palindrome (345543).

Subtracting 123222 from its reverse (222321), we obtain a palindrome (99099).

The spelling of 123222 in words is "one hundred twenty-three thousand, two hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 11 22 33 66 1867 3734 5601 11202 20537 41074 61611 123222