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2242333020 = 2235233314909
BaseRepresentation
bin1000010110100111…
…0100100101011100
312210021100022122010
42011221310211130
514043014124040
61010300551220
7106365342024
oct20551644534
95707308563
102242333020
11a50813a94
12526b52510
13299734095
14173b3aa84
15d1ccee80
hex85a7495c

2242333020 has 96 divisors (see below), whose sum is σ = 6572643840. Its totient is φ = 570113280.

The previous prime is 2242333007. The next prime is 2242333021. The reversal of 2242333020 is 203332422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242333021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454326 + ... + 459234.

It is an arithmetic number, because the mean of its divisors is an integer number (68465040).

Almost surely, 22242333020 is an apocalyptic number.

2242333020 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 2242333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286321920).

2242333020 is an abundant number, since it is smaller than the sum of its proper divisors (4330310820).

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

2242333020 is a wasteful number, since it uses less digits than its factorization.

2242333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2242333020 is about 47353.2788727454. The cubic root of 2242333020 is about 1308.8806202181.

Adding to 2242333020 its reverse (203332422), we get a palindrome (2445665442).

The spelling of 2242333020 in words is "two billion, two hundred forty-two million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 331 345 460 662 690 993 1324 1380 1655 1986 3310 3972 4909 4965 6620 7613 9818 9930 14727 15226 19636 19860 22839 24545 29454 30452 38065 45678 49090 58908 73635 76130 91356 98180 112907 114195 147270 152260 225814 228390 294540 338721 451628 456780 564535 677442 1129070 1354884 1624879 1693605 2258140 3249758 3387210 4874637 6499516 6774420 8124395 9749274 16248790 19498548 24373185 32497580 37372217 48746370 74744434 97492740 112116651 149488868 186861085 224233302 373722170 448466604 560583255 747444340 1121166510 2242333020