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2020112200 = 235214967789
BaseRepresentation
bin111100001101000…
…0111011101001000
312012210012022222101
41320122013131020
513114122042300
6532242003144
7101026445641
oct17032073510
95183168871
102020112200
11947334217
124846464b4
13262699882
141524126c8
15bc536b6a
hex78687748

2020112200 has 48 divisors (see below), whose sum is σ = 4728352500. Its totient is φ = 802609920.

The previous prime is 2020112191. The next prime is 2020112201. The reversal of 2020112200 is 22110202.

It can be written as a sum of positive squares in 6 ways, for example, as 805310884 + 1214801316 = 28378^2 + 34854^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2020112201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4095 + ... + 63694.

Almost surely, 22020112200 is an apocalyptic number.

2020112200 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 2020112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364176250).

2020112200 is an abundant number, since it is smaller than the sum of its proper divisors (2708240300).

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

2020112200 is a wasteful number, since it uses less digits than its factorization.

2020112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67954 (or 67945 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2020112200 is about 44945.6582997735. The cubic root of 2020112200 is about 1264.1302691808.

Adding to 2020112200 its reverse (22110202), we get a palindrome (2042222402).

The spelling of 2020112200 in words is "two billion, twenty million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 596 745 1192 1490 2980 3725 5960 7450 14900 29800 67789 135578 271156 338945 542312 677890 1355780 1694725 2711560 3389450 6778900 10100561 13557800 20201122 40402244 50502805 80804488 101005610 202011220 252514025 404022440 505028050 1010056100 2020112200