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2135002225 = 524111318433
BaseRepresentation
bin111111101000001…
…1000110001110001
312111210101100110111
41333100120301301
513333030032400
6551504301321
7103623135166
oct17720306161
95453340414
102135002225
119a6175854
124b7011841
13280424935
1416379c06d
15c767d3ba
hex7f418c71

2135002225 has 24 divisors (see below), whose sum is σ = 2736121752. Its totient is φ = 1651507200.

The previous prime is 2135002211. The next prime is 2135002229. The reversal of 2135002225 is 5222005312.

It can be written as a sum of positive squares in 12 ways, for example, as 1715285056 + 419717169 = 41416^2 + 20487^2 .

It is a de Polignac number, because none of the positive numbers 2k-2135002225 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2135002196 and 2135002205.

It is not an unprimeable number, because it can be changed into a prime (2135002229) 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, 106609 + ... + 125041.

It is an arithmetic number, because the mean of its divisors is an integer number (114005073).

Almost surely, 22135002225 is an apocalyptic number.

2135002225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2135002225 is a deficient number, since it is larger than the sum of its proper divisors (601119527).

2135002225 is a wasteful number, since it uses less digits than its factorization.

2135002225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18597 (or 18592 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2135002225 is about 46206.0842855137. The cubic root of 2135002225 is about 1287.6547788912.

Adding to 2135002225 its reverse (5222005312), we get a palindrome (7357007537).

The spelling of 2135002225 in words is "two billion, one hundred thirty-five million, two thousand, two hundred twenty-five".

Divisors: 1 5 25 41 113 205 565 1025 2825 4633 18433 23165 92165 115825 460825 755753 2082929 3778765 10414645 18893825 52073225 85400089 427000445 2135002225