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20012200 = 23521343179
BaseRepresentation
bin100110001010…
…1110010101000
31101122201120121
41030111302220
520110342300
61552533024
7332046415
oct114256250
941581517
1020012200
111032950a
126851174
1341b8b50
14292d10c
151b5481a
hex1315ca8

20012200 has 96 divisors (see below), whose sum is σ = 51559200. Its totient is φ = 7176960.

The previous prime is 20012191. The next prime is 20012203. The reversal of 20012200 is 221002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20012203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111711 + ... + 111889.

It is an arithmetic number, because the mean of its divisors is an integer number (537075).

Almost surely, 220012200 is an apocalyptic number.

20012200 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 20012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779600).

20012200 is an abundant number, since it is smaller than the sum of its proper divisors (31547000).

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

20012200 is a wasteful number, since it uses less digits than its factorization.

20012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 20012200 is about 4473.4997485190. The cubic root of 20012200 is about 271.4969435989.

Adding to 20012200 its reverse (221002), we get a palindrome (20233202).

The spelling of 20012200 in words is "twenty million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 43 50 52 65 86 100 104 130 172 179 200 215 260 325 344 358 430 520 559 650 716 860 895 1075 1118 1300 1432 1720 1790 2150 2236 2327 2600 2795 3580 4300 4472 4475 4654 5590 7160 7697 8600 8950 9308 11180 11635 13975 15394 17900 18616 22360 23270 27950 30788 35800 38485 46540 55900 58175 61576 76970 93080 100061 111800 116350 153940 192425 200122 232700 307880 384850 400244 465400 500305 769700 800488 1000610 1539400 2001220 2501525 4002440 5003050 10006100 20012200