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2241433320 = 233579727509
BaseRepresentation
bin1000010110011001…
…1000111011101000
312210012122121110220
42011212120323220
514042301331240
61010225410040
7106354604010
oct20546307350
95705577426
102241433320
11a5025a035
12526799920
132994aa709
14173984c40
15d1ba35d0
hex85998ee8

2241433320 has 128 divisors (see below), whose sum is σ = 7764422400. Its totient is φ = 507027456.

The previous prime is 2241433307. The next prime is 2241433333. The reversal of 2241433320 is 233341422.

It is an interprime number because it is at equal distance from previous prime (2241433307) and next prime (2241433333).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 67726 + ... + 95234.

It is an arithmetic number, because the mean of its divisors is an integer number (60659550).

Almost surely, 22241433320 is an apocalyptic number.

2241433320 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 2241433320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882211200).

2241433320 is an abundant number, since it is smaller than the sum of its proper divisors (5522989080).

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

2241433320 is a wasteful number, since it uses less digits than its factorization.

2241433320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27627 (or 27623 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2241433320 is about 47343.7780494966. The cubic root of 2241433320 is about 1308.7055410459.

Adding to 2241433320 its reverse (233341422), we get a palindrome (2474774742).

The spelling of 2241433320 in words is "two billion, two hundred forty-one million, four hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 97 105 120 140 168 194 210 280 291 388 420 485 582 679 776 840 970 1164 1358 1455 1940 2037 2328 2716 2910 3395 3880 4074 5432 5820 6790 8148 10185 11640 13580 16296 20370 27160 27509 40740 55018 81480 82527 110036 137545 165054 192563 220072 275090 330108 385126 412635 550180 577689 660216 770252 825270 962815 1100360 1155378 1540504 1650540 1925630 2310756 2668373 2888445 3301080 3851260 4621512 5336746 5776890 7702520 8005119 10673492 11553780 13341865 16010238 18678611 21346984 23107560 26683730 32020476 37357222 40025595 53367460 56035833 64040952 74714444 80051190 93393055 106734920 112071666 149428888 160102380 186786110 224143332 280179165 320204760 373572220 448286664 560358330 747144440 1120716660 2241433320