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2200212200 = 235223974931
BaseRepresentation
bin1000001100100100…
…1001001011101000
312200100002100201202
42003021021023220
514001223242300
61002154103332
7105344331554
oct20311111350
95610070652
102200212200
11a29a64a9a
12514a1ab48
13290aa7114
1416c2d4864
15cd25ead5
hex832492e8

2200212200 has 96 divisors (see below), whose sum is σ = 5394029760. Its totient is φ = 832972800.

The previous prime is 2200212187. The next prime is 2200212241. The reversal of 2200212200 is 22120022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443735 + ... + 448665.

It is an arithmetic number, because the mean of its divisors is an integer number (56187810).

Almost surely, 22200212200 is an apocalyptic number.

2200212200 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 2200212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697014880).

2200212200 is an abundant number, since it is smaller than the sum of its proper divisors (3193817560).

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

2200212200 is a wasteful number, since it uses less digits than its factorization.

2200212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2200212200 is about 46906.4196032910. The cubic root of 2200212200 is about 1300.6332614926.

Adding to 2200212200 its reverse (22120022), we get a palindrome (2222332222).

The spelling of 2200212200 in words is "two billion, two hundred million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 97 100 115 184 194 200 230 388 460 485 575 776 920 970 1150 1940 2231 2300 2425 3880 4462 4600 4850 4931 8924 9700 9862 11155 17848 19400 19724 22310 24655 39448 44620 49310 55775 89240 98620 111550 113413 123275 197240 223100 226826 246550 446200 453652 478307 493100 567065 907304 956614 986200 1134130 1913228 2268260 2391535 2835325 3826456 4536520 4783070 5670650 9566140 11001061 11341300 11957675 19132280 22002122 22682600 23915350 44004244 47830700 55005305 88008488 95661400 110010610 220021220 275026525 440042440 550053050 1100106100 2200212200