Search a number
-
+
44222244 = 2231131101107
BaseRepresentation
bin1010100010110…
…0011100100100
310002012201111220
42220230130210
542310102434
64215500340
71044611553
oct250543444
9102181456
1044222244
1122a64910
12129876b0
139214611
145c31d9a
153d37d49
hex2a2c724

44222244 has 96 divisors (see below), whose sum is σ = 118444032. Its totient is φ = 12720000.

The previous prime is 44222239. The next prime is 44222249.

44222244 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44222239) and next prime (44222249).

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (44222249) 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 31 ways as a sum of consecutive naturals, for example, 413239 + ... + 413345.

It is an arithmetic number, because the mean of its divisors is an integer number (1233792).

Almost surely, 244222244 is an apocalyptic number.

44222244 is a gapful number since it is divisible by the number (44) 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 44222244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59222016).

44222244 is an abundant number, since it is smaller than the sum of its proper divisors (74221788).

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

44222244 is a wasteful number, since it uses less digits than its factorization.

44222244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 44222244 is about 6649.9807518518. The cubic root of 44222244 is about 353.6282285532.

It can be divided in two parts, 4422 and 2244, that added together give a palindrome (6666).

The spelling of 44222244 in words is "forty-four million, two hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 101 107 124 132 186 202 214 303 321 341 372 404 428 606 642 682 1023 1111 1177 1212 1284 1364 2046 2222 2354 3131 3317 3333 3531 4092 4444 4708 6262 6634 6666 7062 9393 9951 10807 12524 13268 13332 14124 18786 19902 21614 32421 34441 36487 37572 39804 43228 64842 68882 72974 103323 109461 118877 129684 137764 145948 206646 218922 237754 335017 356631 413292 437844 475508 670034 713262 1005051 1340068 1426524 2010102 3685187 4020204 7370374 11055561 14740748 22111122 44222244