Search a number
-
+
2244444020 = 2257213315683
BaseRepresentation
bin1000010111000111…
…0111111101110100
312210102022120101022
42011301313331310
514044034202040
61010414120312
7106422313400
oct20561677564
95712276338
102244444020
11a51a26015
125277b0098
13299cc2bb0
1417412a100
15d209a6b5
hex85c77f74

2244444020 has 144 divisors (see below), whose sum is σ = 6096158208. Its totient is φ = 687294720.

The previous prime is 2244444019. The next prime is 2244444043. The reversal of 2244444020 is 204444422.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392099 + ... + 397781.

It is an arithmetic number, because the mean of its divisors is an integer number (42334432).

Almost surely, 22244444020 is an apocalyptic number.

2244444020 is a gapful number since it is divisible by the number (20) 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 2244444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048079104).

2244444020 is an abundant number, since it is smaller than the sum of its proper divisors (3851714188).

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

2244444020 is a wasteful number, since it uses less digits than its factorization.

2244444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 2244444020 is about 47375.5635322684. The cubic root of 2244444020 is about 1309.2912313013.

Adding to 2244444020 its reverse (204444422), we get a palindrome (2448888442).

The spelling of 2244444020 in words is "two billion, two hundred forty-four million, four hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 49 52 62 65 70 91 98 124 130 140 155 182 196 217 245 260 310 364 403 434 455 490 620 637 806 868 910 980 1085 1274 1519 1612 1820 2015 2170 2548 2821 3038 3185 4030 4340 5642 5683 6076 6370 7595 8060 11284 11366 12740 14105 15190 19747 22732 28210 28415 30380 39494 39781 56420 56830 73879 78988 79562 98735 113660 147758 159124 176173 197470 198905 278467 295516 352346 369395 394940 397810 517153 556934 704692 738790 795620 880865 1034306 1113868 1233211 1392335 1477580 1761730 2068612 2290249 2466422 2585765 2784670 3523460 3620071 4580498 4932844 5171530 5569340 6166055 7240142 8632477 9160996 10343060 11451245 12332110 14480284 16031743 17264954 18100355 22902490 24664220 32063486 34529908 36200710 43162385 45804980 64126972 72401420 80158715 86324770 112222201 160317430 172649540 224444402 320634860 448888804 561111005 1122222010 2244444020