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2112144200 = 235222746523
BaseRepresentation
bin111110111100100…
…1100001101001000
312110012101001010222
41331321030031020
513311202103300
6545330325212
7103224633545
oct17571141510
95405331128
102112144200
11994283221
124ab429808
1327878068a
1416072bbcc
15c5665785
hex7de4c348

2112144200 has 48 divisors (see below), whose sum is σ = 4932474480. Its totient is φ = 841117760.

The previous prime is 2112144193. The next prime is 2112144227. The reversal of 2112144200 is 24412112.

It is a super-2 number, since 2×21121442002 = 8922306243187280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22139 + ... + 68661.

It is an arithmetic number, because the mean of its divisors is an integer number (102759885).

Almost surely, 22112144200 is an apocalyptic number.

2112144200 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 2112144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466237240).

2112144200 is an abundant number, since it is smaller than the sum of its proper divisors (2820330280).

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

2112144200 is a wasteful number, since it uses less digits than its factorization.

2112144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46766 (or 46757 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2112144200 is about 45958.0700204001. The cubic root of 2112144200 is about 1283.0429312360.

Adding to 2112144200 its reverse (24412112), we get a palindrome (2136556312).

The spelling of 2112144200 in words is "two billion, one hundred twelve million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 227 454 908 1135 1816 2270 4540 5675 9080 11350 22700 45400 46523 93046 186092 232615 372184 465230 930460 1163075 1860920 2326150 4652300 9304600 10560721 21121442 42242884 52803605 84485768 105607210 211214420 264018025 422428840 528036050 1056072100 2112144200