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2242403240 = 2357114671559
BaseRepresentation
bin1000010110101000…
…0101101110101000
312210021110212221212
42011222011232220
514043023400430
61010302252252
7106366053530
oct20552055650
95707425855
102242403240
11a50861820
12526b87088
1329975a02c
14173b584c0
15d1ce5b95
hex85a85ba8

2242403240 has 128 divisors (see below), whose sum is σ = 6307891200. Its totient is φ = 696986880.

The previous prime is 2242403227. The next prime is 2242403299. The reversal of 2242403240 is 423042422.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1437581 + ... + 1439139.

It is an arithmetic number, because the mean of its divisors is an integer number (49280400).

Almost surely, 22242403240 is an apocalyptic number.

2242403240 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 2242403240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153945600).

2242403240 is an abundant number, since it is smaller than the sum of its proper divisors (4065487960).

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

2242403240 is a wasteful number, since it uses less digits than its factorization.

2242403240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2242403240 is about 47354.0203150693. The cubic root of 2242403240 is about 1308.8942828687.

Adding to 2242403240 its reverse (423042422), we get a palindrome (2665445662).

The spelling of 2242403240 in words is "two billion, two hundred forty-two million, four hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 467 616 770 934 1540 1559 1868 2335 3080 3118 3269 3736 4670 5137 6236 6538 7795 9340 10274 10913 12472 13076 15590 16345 17149 18680 20548 21826 25685 26152 31180 32690 34298 35959 41096 43652 51370 54565 62360 65380 68596 71918 85745 87304 102740 109130 120043 130760 137192 143836 171490 179795 205480 218260 240086 287672 342980 359590 436520 480172 600215 685960 719180 728053 960344 1200430 1438360 1456106 2400860 2912212 3640265 4801720 5096371 5824424 7280530 8008583 10192742 14561060 16017166 20385484 25481855 29122120 32034332 40042915 40770968 50963710 56060081 64068664 80085830 101927420 112120162 160171660 203854840 224240324 280300405 320343320 448480648 560600810 1121201620 2242403240