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2244241440 = 253257222643
BaseRepresentation
bin1000010111000100…
…0110100000100000
312210101221021111100
42011301012200200
514044011211230
61010405514400
7106420510650
oct20561064040
95711837440
102244241440
11a518a78a1
12527712a00
13299c5191c
141740b6360
15d205a660
hex85c46820

2244241440 has 144 divisors (see below), whose sum is σ = 8752580928. Its totient is φ = 512967168.

The previous prime is 2244241429. The next prime is 2244241453. The reversal of 2244241440 is 441424422.

2244241440 is a `hidden beast` number, since 2 + 244 + 2 + 414 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101242 + ... + 121401.

It is an arithmetic number, because the mean of its divisors is an integer number (60781812).

Almost surely, 22244241440 is an apocalyptic number.

2244241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244241440 is an abundant number, since it is smaller than the sum of its proper divisors (6508339488).

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

2244241440 is a wasteful number, since it uses less digits than its factorization.

2244241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222671 (or 222660 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 2244241440 is about 47373.4254619613. The cubic root of 2244241440 is about 1309.2518385912.

Adding to 2244241440 its reverse (441424422), we get a palindrome (2685665862).

The spelling of 2244241440 in words is "two billion, two hundred forty-four million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 222643 445286 667929 890572 1113215 1335858 1558501 1781144 2003787 2226430 2671716 3117002 3339645 3562288 4007574 4452860 4675503 5343432 6234004 6679290 7124576 7792505 8015148 8905720 9351006 10018935 10686864 12468008 13358580 14026509 15585010 16030296 17811440 18702012 20037870 21373728 23377515 24936016 26717160 28053018 31170020 32060592 35622880 37404024 40075740 46755030 49872032 53434320 56106036 62340040 64121184 70132545 74808048 80151480 93510060 106868640 112212072 124680080 140265090 149616096 160302960 187020120 224424144 249360160 280530180 320605920 374040240 448848288 561060360 748080480 1122120720 2244241440