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2340142225 = 521710154517
BaseRepresentation
bin1000101101111011…
…1011110010010001
320001002101112122021
42023132323302101
514243034022400
61024113211441
7111663611041
oct21336736221
96032345567
102340142225
11aa0a49543
12553860b81
132b3a8b655
14182b1b721
15da6a071a
hex8b7bbc91

2340142225 has 24 divisors (see below), whose sum is σ = 3102946488. Its totient is φ = 1744512000.

The previous prime is 2340142223. The next prime is 2340142243. The reversal of 2340142225 is 5222410432.

It can be written as a sum of positive squares in 12 ways, for example, as 54154881 + 2285987344 = 7359^2 + 47812^2 .

It is not a de Polignac number, because 2340142225 - 21 = 2340142223 is a prime.

It is a super-3 number, since 3×23401422253 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 2340142225.

It is not an unprimeable number, because it can be changed into a prime (2340142223) 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, 15667 + ... + 70183.

It is an arithmetic number, because the mean of its divisors is an integer number (129289437).

Almost surely, 22340142225 is an apocalyptic number.

2340142225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2340142225 is a deficient number, since it is larger than the sum of its proper divisors (762804263).

2340142225 is a wasteful number, since it uses less digits than its factorization.

2340142225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54645 (or 54640 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2340142225 is about 48375.0165374649. The cubic root of 2340142225 is about 1327.6412911467.

Adding to 2340142225 its reverse (5222410432), we get a palindrome (7562552657).

The spelling of 2340142225 in words is "two billion, three hundred forty million, one hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 101 425 505 1717 2525 8585 42925 54517 272585 926789 1362925 4633945 5506217 23169725 27531085 93605689 137655425 468028445 2340142225