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4122244 = 2272337173
BaseRepresentation
bin1111101110011010000100
321202102122201
433232122010
52023402434
6224204244
750016130
oct17563204
97672581
104122244
112366115
121469684
13b143c9
147943c0
15566614
hex3ee684

4122244 has 48 divisors (see below), whose sum is σ = 8886528. Its totient is φ = 1634688.

The previous prime is 4122227. The next prime is 4122247. The reversal of 4122244 is 4422214.

4122244 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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

4122244 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (4122247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23742 + ... + 23914.

It is an arithmetic number, because the mean of its divisors is an integer number (185136).

Almost surely, 24122244 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 4122244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443264).

4122244 is an abundant number, since it is smaller than the sum of its proper divisors (4764284).

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

4122244 is a wasteful number, since it uses less digits than its factorization.

4122244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 242 counting only the distinct ones).

The product of its digits is 512, while the sum is 19.

The square root of 4122244 is about 2030.3310074961. The cubic root of 4122244 is about 160.3409915137.

Adding to 4122244 its product of digits (512), we get a triangular number (4122756 = T2871).

Adding to 4122244 its reverse (4422214), we get a palindrome (8544458).

The spelling of 4122244 in words is "four million, one hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 23 28 37 46 74 92 148 161 173 259 322 346 518 644 692 851 1036 1211 1702 2422 3404 3979 4844 5957 6401 7958 11914 12802 15916 23828 25604 27853 44807 55706 89614 111412 147223 179228 294446 588892 1030561 2061122 4122244