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2200314304 = 261967113239
BaseRepresentation
bin1000001100100110…
…0010000111000000
312200100021112210101
42003021202013000
514001240024204
61002200212144
7105345235336
oct20311420700
95610245711
102200314304
11a2a024781
12514a6a054
13290b11736
1416c31db56
15cd27eea4
hex832621c0

2200314304 has 112 divisors (see below), whose sum is σ = 4725619200. Its totient is φ = 1013354496.

The previous prime is 2200314289. The next prime is 2200314329. The reversal of 2200314304 is 4034130022.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9206217 + ... + 9206455.

Almost surely, 22200314304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362809600).

2200314304 is an abundant number, since it is smaller than the sum of its proper divisors (2525304896).

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

2200314304 is a wasteful number, since it uses less digits than its factorization.

2200314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2200314304 is about 46907.5079704731. The cubic root of 2200314304 is about 1300.6533804315.

Adding to 2200314304 its reverse (4034130022), we get a palindrome (6234444326).

The spelling of 2200314304 in words is "two billion, two hundred million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 67 76 113 134 152 226 239 268 304 452 478 536 608 904 956 1072 1216 1273 1808 1912 2144 2147 2546 3616 3824 4288 4294 4541 5092 7232 7571 7648 8588 9082 10184 15142 15296 16013 17176 18164 20368 27007 30284 32026 34352 36328 40736 54014 60568 64052 68704 72656 81472 108028 121136 128104 137408 143849 145312 216056 242272 256208 287698 290624 304247 432112 484544 512416 513133 575396 608494 864224 1024832 1026266 1150792 1216988 1728448 1809469 2052532 2301584 2433976 3618938 4105064 4603168 4867952 7237876 8210128 9206336 9735904 14475752 16420256 19471808 28951504 32840512 34379911 57903008 68759822 115806016 137519644 275039288 550078576 1100157152 2200314304