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2201214288 = 243713796379
BaseRepresentation
bin1000001100110011…
…1101110101010000
312200101222021100010
42003030331311100
514002002324123
61002231354520
7105356004240
oct20314756520
95611867303
102201214288
11a2a589969
12515222a40
13291068280
1416c4b5b20
15cd3ab993
hex8333dd50

2201214288 has 160 divisors (see below), whose sum is σ = 7088435200. Its totient is φ = 573101568.

The previous prime is 2201214269. The next prime is 2201214299. The reversal of 2201214288 is 8824121022.

It is a congruent number.

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, 341883 + ... + 348261.

It is an arithmetic number, because the mean of its divisors is an integer number (44302720).

Almost surely, 22201214288 is an apocalyptic number.

2201214288 is a gapful number since it is divisible by the number (28) 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 2201214288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544217600).

2201214288 is an abundant number, since it is smaller than the sum of its proper divisors (4887220912).

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

2201214288 is a wasteful number, since it uses less digits than its factorization.

2201214288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2201214288 is about 46917.1001661441. The cubic root of 2201214288 is about 1300.8306895958.

The spelling of 2201214288 in words is "two billion, two hundred one million, two hundred fourteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 79 84 91 104 112 156 158 168 182 208 237 273 312 316 336 364 474 546 553 624 632 728 948 1027 1092 1106 1264 1456 1659 1896 2054 2184 2212 3081 3318 3792 4108 4368 4424 6162 6379 6636 7189 8216 8848 12324 12758 13272 14378 16432 19137 21567 24648 25516 26544 28756 38274 43134 44653 49296 51032 57512 76548 82927 86268 89306 102064 115024 133959 153096 165854 172536 178612 248781 267918 306192 331708 345072 357224 497562 503941 535836 580489 663416 714448 995124 1007882 1071672 1160978 1326832 1511823 1741467 1990248 2015764 2143344 2321956 3023646 3482934 3527587 3980496 4031528 4643912 6047292 6551233 6965868 7055174 8063056 9287824 10582761 12094584 13102466 13931736 14110348 19653699 21165522 24189168 26204932 27863472 28220696 39307398 42331044 45858631 52409864 56441392 78614796 84662088 91717262 104819728 137575893 157229592 169324176 183434524 275151786 314459184 366869048 550303572 733738096 1100607144 2201214288