Search a number
-
+
2225156125 = 5331356873
BaseRepresentation
bin1000010010100001…
…0011000000011101
312202002000122100211
42010220103000131
514024114444000
61004444452421
7106066341433
oct20450230035
95662018324
102225156125
11a42051805
1252124a111
13295ccb93a
14171748d53
15d053a7ba
hex84a1301d

2225156125 has 16 divisors (see below), whose sum is σ = 2785916016. Its totient is φ = 1774406400.

The previous prime is 2225156123. The next prime is 2225156159. The reversal of 2225156125 is 5216515222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1983633444 + 241522681 = 44538^2 + 15541^2 .

It is not a de Polignac number, because 2225156125 - 21 = 2225156123 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225156123) 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 15 ways as a sum of consecutive naturals, for example, 10689 + ... + 67561.

It is an arithmetic number, because the mean of its divisors is an integer number (174119751).

Almost surely, 22225156125 is an apocalyptic number.

2225156125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2225156125 is a deficient number, since it is larger than the sum of its proper divisors (560759891).

2225156125 is an equidigital number, since it uses as much as digits as its factorization.

2225156125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57201 (or 57191 counting only the distinct ones).

The product of its digits is 12000, while the sum is 31.

The square root of 2225156125 is about 47171.5605529433. The cubic root of 2225156125 is about 1305.5299198896.

The spelling of 2225156125 in words is "two billion, two hundred twenty-five million, one hundred fifty-six thousand, one hundred twenty-five".

Divisors: 1 5 25 125 313 1565 7825 39125 56873 284365 1421825 7109125 17801249 89006245 445031225 2225156125