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122232 = 23311463
BaseRepresentation
bin11101110101111000
320012200010
4131311320
512402412
62341520
71016235
oct356570
9205603
10122232
1183920
125a8a0
1343836
143278c
152633c
hex1dd78

122232 has 32 divisors (see below), whose sum is σ = 334080. Its totient is φ = 36960.

The previous prime is 122231. The next prime is 122251. The reversal of 122232 is 232221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122231) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 33 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (10440).

2122232 is an apocalyptic number.

122232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167040).

122232 is an abundant number, since it is smaller than the sum of its proper divisors (211848).

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

122232 is a wasteful number, since it uses less digits than its factorization.

122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

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

The square root of 122232 is about 349.6169332284. The cubic root of 122232 is about 49.6281751126.

Adding to 122232 its reverse (232221), we get a palindrome (354453).

The spelling of 122232 in words is "one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 463 926 1389 1852 2778 3704 5093 5556 10186 11112 15279 20372 30558 40744 61116 122232