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2213010200 = 23522112292
BaseRepresentation
bin1000001111100111…
…1101101100011000
312201020011120021202
42003321331230120
514013012311300
61003332253332
7105561163532
oct20371755430
95636146252
102213010200
11a36206355
12519171248
132936383bb
1416dca6852
15ce43bad5
hex83e7db18

2213010200 has 72 divisors (see below), whose sum is σ = 5192307180. Its totient is φ = 877161600.

The previous prime is 2213010169. The next prime is 2213010203. The reversal of 2213010200 is 20103122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213010203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9663686 + ... + 9663914.

Almost surely, 22213010200 is an apocalyptic number.

2213010200 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 2213010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596153590).

2213010200 is an abundant number, since it is smaller than the sum of its proper divisors (2979296980).

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

2213010200 is a wasteful number, since it uses less digits than its factorization.

2213010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2213010200 is about 47042.6423577588. The cubic root of 2213010200 is about 1303.1501905928.

Adding to 2213010200 its reverse (20103122), we get a palindrome (2233113322).

The spelling of 2213010200 in words is "two billion, two hundred thirteen million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 229 422 458 844 916 1055 1145 1688 1832 2110 2290 4220 4580 5275 5725 8440 9160 10550 11450 21100 22900 42200 45800 48319 52441 96638 104882 193276 209764 241595 262205 386552 419528 483190 524410 966380 1048820 1207975 1311025 1932760 2097640 2415950 2622050 4831900 5244100 9663800 10488200 11065051 22130102 44260204 55325255 88520408 110650510 221301020 276626275 442602040 553252550 1106505100 2213010200