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2221120200 = 2335213284759
BaseRepresentation
bin1000010001100011…
…1001101011001000
312201210102121010010
42010120321223020
514022101321300
61004222151520
7106020132045
oct20430715310
95653377103
102221120200
11a3a845532
1251ba225a0
13295217910
14170db81cc
15ceedea50
hex84639ac8

2221120200 has 96 divisors (see below), whose sum is σ = 7415150400. Its totient is φ = 546735360.

The previous prime is 2221120177. The next prime is 2221120229. The reversal of 2221120200 is 20211222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134580 + ... + 150179.

It is an arithmetic number, because the mean of its divisors is an integer number (77241150).

Almost surely, 22221120200 is an apocalyptic number.

2221120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221120200 is an abundant number, since it is smaller than the sum of its proper divisors (5194030200).

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

2221120200 is a wasteful number, since it uses less digits than its factorization.

2221120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284791 (or 284782 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2221120200 is about 47128.7619188113. The cubic root of 2221120200 is about 1304.7401311647.

Adding to 2221120200 its reverse (20211222), we get a palindrome (2241331422).

The spelling of 2221120200 in words is "two billion, two hundred twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 284759 569518 854277 1139036 1423795 1708554 2278072 2847590 3417108 3701867 4271385 5695180 6834216 7118975 7403734 8542770 11105601 11390360 14237950 14807468 17085540 18509335 21356925 22211202 28475900 29614936 34171080 37018670 42713850 44422404 55528005 56951800 74037340 85427700 88844808 92546675 111056010 148074680 170855400 185093350 222112020 277640025 370186700 444224040 555280050 740373400 1110560100 2221120200