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2020132200 = 2335216720161
BaseRepresentation
bin111100001101000…
…1100010101101000
312012210020100102010
41320122030111220
513114123212300
6532242235520
7101026561152
oct17032142550
95183210363
102020132200
11947348249
12484655ba0
132626a59c8
14152419ad2
15bc53ca50
hex7868c568

2020132200 has 96 divisors (see below), whose sum is σ = 6300221760. Its totient is φ = 535449600.

The previous prime is 2020132189. The next prime is 2020132201. The reversal of 2020132200 is 22310202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2020132201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90120 + ... + 110280.

It is an arithmetic number, because the mean of its divisors is an integer number (65627310).

Almost surely, 22020132200 is an apocalyptic number.

2020132200 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 2020132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150110880).

2020132200 is an abundant number, since it is smaller than the sum of its proper divisors (4280089560).

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

2020132200 is a wasteful number, since it uses less digits than its factorization.

2020132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20347 (or 20338 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2020132200 is about 44945.8807901236. The cubic root of 2020132200 is about 1264.1344409824.

Adding to 2020132200 its reverse (22310202), we get a palindrome (2042442402).

The spelling of 2020132200 in words is "two billion, twenty million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 167 200 300 334 501 600 668 835 1002 1336 1670 2004 2505 3340 4008 4175 5010 6680 8350 10020 12525 16700 20040 20161 25050 33400 40322 50100 60483 80644 100200 100805 120966 161288 201610 241932 302415 403220 483864 504025 604830 806440 1008050 1209660 1512075 2016100 2419320 3024150 3366887 4032200 6048300 6733774 10100661 12096600 13467548 16834435 20201322 26935096 33668870 40402644 50503305 67337740 80805288 84172175 101006610 134675480 168344350 202013220 252516525 336688700 404026440 505033050 673377400 1010066100 2020132200