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122248 = 2373759
BaseRepresentation
bin11101110110001000
320012200201
4131312020
512402443
62341544
71016260
oct356610
9205621
10122248
1183935
125a8b4
1343849
14327a0
152634d
hex1dd88

122248 has 32 divisors (see below), whose sum is σ = 273600. Its totient is φ = 50112.

The previous prime is 122231. The next prime is 122251. The reversal of 122248 is 842221.

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

It is a plaindrome in base 10.

It is an unprimeable number.

122248 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 7 ways as a sum of consecutive naturals, for example, 2043 + ... + 2101.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2122248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136800).

122248 is an abundant number, since it is smaller than the sum of its proper divisors (151352).

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

122248 is a wasteful number, since it uses less digits than its factorization.

122248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 105 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 122248 is about 349.6398146665. The cubic root of 122248 is about 49.6303404379.

Adding to 122248 its reverse (842221), we get a palindrome (964469).

The spelling of 122248 in words is "one hundred twenty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 37 56 59 74 118 148 236 259 296 413 472 518 826 1036 1652 2072 2183 3304 4366 8732 15281 17464 30562 61124 122248