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2020424200 = 2352291013449
BaseRepresentation
bin111100001101101…
…0011101000001000
312012210210011221221
41320123103220020
513114212033300
6532252411424
7101032215364
oct17033235010
95183704857
102020424200
11947527673
12484776b74
132627788a2
141524942a4
15bc59931a
hex786d3a08

2020424200 has 96 divisors (see below), whose sum is σ = 4909005000. Its totient is φ = 772352000.

The previous prime is 2020424191. The next prime is 2020424201. The reversal of 2020424200 is 24240202.

It can be written as a sum of positive squares in 12 ways, for example, as 79316836 + 1941107364 = 8906^2 + 44058^2 .

It is a super-2 number, since 2×20204242002 = 8164227895891280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2020424201) 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, 584076 + ... + 587524.

Almost surely, 22020424200 is an apocalyptic number.

2020424200 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 2020424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454502500).

2020424200 is an abundant number, since it is smaller than the sum of its proper divisors (2888580800).

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

2020424200 is a wasteful number, since it uses less digits than its factorization.

2020424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2020424200 is about 44949.1290238198. The cubic root of 2020424200 is about 1264.1953461504.

Adding to 2020424200 its reverse (24240202), we get a palindrome (2044664402).

The spelling of 2020424200 in words is "two billion, twenty million, four hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 101 116 145 200 202 232 290 404 505 580 725 808 1010 1160 1450 2020 2525 2900 2929 3449 4040 5050 5800 5858 6898 10100 11716 13796 14645 17245 20200 23432 27592 29290 34490 58580 68980 73225 86225 100021 117160 137960 146450 172450 200042 292900 344900 348349 400084 500105 585800 689800 696698 800168 1000210 1393396 1741745 2000420 2500525 2786792 3483490 4000840 5001050 6966980 8708725 10002100 10102121 13933960 17417450 20004200 20204242 34834900 40408484 50510605 69669800 80816968 101021210 202042420 252553025 404084840 505106050 1010212100 2020424200