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2242465260 = 2235713613923
BaseRepresentation
bin1000010110101001…
…0100110111101100
312210021121001000220
42011222110313230
514043032342020
61010303451340
7106366432410
oct20552246754
95707531026
102242465260
11a508a4382
12526bb6b50
1329977c329
14173b72d40
15d1d09240
hex85a94dec

2242465260 has 96 divisors (see below), whose sum is σ = 7182991872. Its totient is φ = 512056320.

The previous prime is 2242465241. The next prime is 2242465261. The reversal of 2242465260 is 625642422.

2242465260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2242465261) 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, 569659 + ... + 573581.

It is an arithmetic number, because the mean of its divisors is an integer number (74822832).

Almost surely, 22242465260 is an apocalyptic number.

2242465260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242465260 is an abundant number, since it is smaller than the sum of its proper divisors (4940526612).

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

2242465260 is a wasteful number, since it uses less digits than its factorization.

2242465260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5303 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 2242465260 is about 47354.6751651830. The cubic root of 2242465260 is about 1308.9063498145.

The spelling of 2242465260 in words is "two billion, two hundred forty-two million, four hundred sixty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1361 2722 3923 4083 5444 6805 7846 8166 9527 11769 13610 15692 16332 19054 19615 20415 23538 27220 27461 28581 38108 39230 40830 47076 47635 54922 57162 58845 78460 81660 82383 95270 109844 114324 117690 137305 142905 164766 190540 235380 274610 285810 329532 411915 549220 571620 823830 1647660 5339203 10678406 16017609 21356812 26696015 32035218 37374421 53392030 64070436 74748842 80088045 106784060 112123263 149497684 160176090 186872105 224246526 320352180 373744210 448493052 560616315 747488420 1121232630 2242465260