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2212114200 = 2335229127133
BaseRepresentation
bin1000001111011010…
…0010111100011000
312201011111001012120
42003312202330120
514012300123300
61003301141240
7105550442352
oct20366427430
95634431176
102212114200
11a3575415a
125189ba820
132933b361a
1416db120d2
15ce3113a0
hex83da2f18

2212114200 has 96 divisors (see below), whose sum is σ = 7094077200. Its totient is φ = 569551360.

The previous prime is 2212114181. The next prime is 2212114207. The reversal of 2212114200 is 24112122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2212114200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212114207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46167 + ... + 80966.

Almost surely, 22212114200 is an apocalyptic number.

2212114200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212114200 is an abundant number, since it is smaller than the sum of its proper divisors (4881963000).

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

2212114200 is a wasteful number, since it uses less digits than its factorization.

2212114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127181 (or 127172 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2212114200 is about 47033.1181190446. The cubic root of 2212114200 is about 1302.9742944028.

Adding to 2212114200 its reverse (24112122), we get a palindrome (2236226322).

The spelling of 2212114200 in words is "two billion, two hundred twelve million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8700 17400 127133 254266 381399 508532 635665 762798 1017064 1271330 1525596 1906995 2542660 3051192 3178325 3686857 3813990 5085320 6356650 7373714 7627980 9534975 11060571 12713300 14747428 15255960 18434285 19069950 22121142 25426600 29494856 36868570 38139900 44242284 55302855 73737140 76279800 88484568 92171425 110605710 147474280 184342850 221211420 276514275 368685700 442422840 553028550 737371400 1106057100 2212114200