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2020201200 = 2432524113687
BaseRepresentation
bin111100001101001…
…1101001011110000
312012210100212001200
41320122131023300
513114132414300
6532243531200
7101030266263
oct17032351360
95183325050
102020201200
11947395076
12484689b00
132626cb234
14152436cda
15bc553200
hex7869d2f0

2020201200 has 180 divisors, whose sum is σ = 7182175728. Its totient is φ = 525542400.

The previous prime is 2020201097. The next prime is 2020201223. The reversal of 2020201200 is 21020202.

2020201200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140757 + ... + 154443.

Almost surely, 22020201200 is an apocalyptic number.

2020201200 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 2020201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591087864).

2020201200 is an abundant number, since it is smaller than the sum of its proper divisors (5161974528).

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

2020201200 is a wasteful number, since it uses less digits than its factorization.

2020201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13752 (or 13738 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2020201200 is about 44946.6483733771. The cubic root of 2020201200 is about 1264.1488334866.

Adding to 2020201200 its reverse (21020202), we get a palindrome (2041221402).

The spelling of 2020201200 in words is "two billion, twenty million, two hundred one thousand, two hundred".