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2120022200 = 235273145207
BaseRepresentation
bin111111001011100…
…1111100010111000
312110202012021201202
41332113033202320
513320211202300
6550211233332
7103351614512
oct17627174270
95422167652
102120022200
1199877406a
124b1ba8848
1327a2ab40a
141617bcbb2
15c61bead5
hex7e5cf8b8

2120022200 has 48 divisors (see below), whose sum is σ = 4996607280. Its totient is φ = 836386560.

The previous prime is 2120022193. The next prime is 2120022211. The reversal of 2120022200 is 22200212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58004 + ... + 87203.

It is an arithmetic number, because the mean of its divisors is an integer number (104095985).

Almost surely, 22120022200 is an apocalyptic number.

2120022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120022200 is an abundant number, since it is smaller than the sum of its proper divisors (2876585080).

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

2120022200 is a wasteful number, since it uses less digits than its factorization.

2120022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145296 (or 145287 counting only the distinct ones).

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

The square root of 2120022200 is about 46043.6988088490. The cubic root of 2120022200 is about 1284.6361417885.

Adding to 2120022200 its reverse (22200212), we get a palindrome (2142222412).

The spelling of 2120022200 in words is "two billion, one hundred twenty million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 14600 145207 290414 580828 726035 1161656 1452070 2904140 3630175 5808280 7260350 10600111 14520700 21200222 29041400 42400444 53000555 84800888 106001110 212002220 265002775 424004440 530005550 1060011100 2120022200