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2213122200 = 233523688537
BaseRepresentation
bin1000001111101001…
…1001000010011000
312201020101020220220
42003322121002120
514013024402300
61003334520040
7105562141212
oct20372310230
95636336826
102213122200
11a36282513
12519206020
13293677383
1416dcd55b2
15ce45eda0
hex83e99098

2213122200 has 48 divisors (see below), whose sum is σ = 6860680680. Its totient is φ = 590165760.

The previous prime is 2213122189. The next prime is 2213122207. The reversal of 2213122200 is 22213122.

It is a happy number.

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 2213122200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213122207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1843669 + ... + 1844868.

Almost surely, 22213122200 is an apocalyptic number.

2213122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213122200 is an abundant number, since it is smaller than the sum of its proper divisors (4647558480).

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

2213122200 is a wasteful number, since it uses less digits than its factorization.

2213122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688556 (or 3688547 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2213122200 is about 47043.8327520197. The cubic root of 2213122200 is about 1303.1721742781.

Adding to 2213122200 its reverse (22213122), we get a palindrome (2235335322).

The spelling of 2213122200 in words is "two billion, two hundred thirteen million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3688537 7377074 11065611 14754148 18442685 22131222 29508296 36885370 44262444 55328055 73770740 88524888 92213425 110656110 147541480 184426850 221312220 276640275 368853700 442624440 553280550 737707400 1106561100 2213122200