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44143220 = 225112172937
BaseRepresentation
bin1010100001100…
…1001001110100
310002001201010002
42220121021310
542300040340
64214050432
71044132302
oct250311164
9102051102
1044143220
1122a10500
1212949a18
1391b7664
145c11272
153d1e715
hex2a19274

44143220 has 144 divisors (see below), whose sum is σ = 114624720. Its totient is φ = 14192640.

The previous prime is 44143217. The next prime is 44143243. The reversal of 44143220 is 2234144.

It can be written as a sum of positive squares in 8 ways, for example, as 4276624 + 39866596 = 2068^2 + 6314^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 44143192 and 44143201.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1193042 + ... + 1193078.

It is an arithmetic number, because the mean of its divisors is an integer number (796005).

Almost surely, 244143220 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 44143220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57312360).

44143220 is an abundant number, since it is smaller than the sum of its proper divisors (70481500).

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

44143220 is a wasteful number, since it uses less digits than its factorization.

44143220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 44143220 is about 6644.0364237412. The cubic root of 44143220 is about 353.4174614755.

Adding to 44143220 its reverse (2234144), we get a palindrome (46377364).

The spelling of 44143220 in words is "forty-four million, one hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 29 34 37 44 55 58 68 74 85 110 116 121 145 148 170 185 187 220 242 290 319 340 370 374 407 484 493 580 605 629 638 740 748 814 935 986 1073 1210 1258 1276 1595 1628 1870 1972 2035 2057 2146 2420 2465 2516 3145 3190 3509 3740 4070 4114 4292 4477 4930 5365 5423 6290 6380 6919 7018 8140 8228 8954 9860 10285 10730 10846 11803 12580 13838 14036 17545 17908 18241 20570 21460 21692 22385 23606 27115 27676 34595 35090 36482 41140 44770 47212 54230 59015 59653 69190 70180 72964 76109 89540 91205 108460 118030 119306 129833 138380 152218 182410 200651 236060 238612 259666 298265 304436 364820 380545 401302 519332 596530 649165 761090 802604 1003255 1193060 1298330 1522180 2006510 2207161 2596660 4013020 4414322 8828644 11035805 22071610 44143220