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2034525200 = 24525086313
BaseRepresentation
bin111100101000100…
…0110010000010000
312020210022120220012
41321101012100100
513131314301300
6533514534052
7101263115231
oct17121062020
95223276805
102034525200
11954488994
12489437328
13265674c86
141542c5088
15bd932435
hex79446410

2034525200 has 30 divisors (see below), whose sum is σ = 4887947754. Its totient is φ = 813809920.

The previous prime is 2034525173. The next prime is 2034525209. The reversal of 2034525200 is 25254302.

It can be written as a sum of positive squares in 3 ways, for example, as 51782416 + 1982742784 = 7196^2 + 44528^2 .

It is not an unprimeable number, because it can be changed into a prime (2034525209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2542757 + ... + 2543556.

Almost surely, 22034525200 is an apocalyptic number.

2034525200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034525200 is an abundant number, since it is smaller than the sum of its proper divisors (2853422554).

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

2034525200 is a wasteful number, since it uses less digits than its factorization.

2034525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086331 (or 5086320 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 2034525200 is about 45105.7113900224. The cubic root of 2034525200 is about 1267.1295661174.

Adding to 2034525200 its reverse (25254302), we get a palindrome (2059779502).

The spelling of 2034525200 in words is "two billion, thirty-four million, five hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5086313 10172626 20345252 25431565 40690504 50863130 81381008 101726260 127157825 203452520 254315650 406905040 508631300 1017262600 2034525200