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2225249325 = 325213760769
BaseRepresentation
bin1000010010100010…
…1001110000101101
312202002012101012200
42010220221300231
514024130434300
61004450452113
7106100210235
oct20450516055
95662171180
102225249325
11a42105832
12521294039
132960321a0
14171770cc5
15d0558200
hex84a29c2d

2225249325 has 36 divisors (see below), whose sum is σ = 4292264340. Its totient is φ = 1095505920.

The previous prime is 2225249321. The next prime is 2225249329. The reversal of 2225249325 is 5239425222.

It is a happy number.

2225249325 is a `hidden beast` number, since 2 + 22 + 524 + 93 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (2225249321) and next prime (2225249329).

It can be written as a sum of positive squares in 6 ways, for example, as 11923209 + 2213326116 = 3453^2 + 47046^2 .

It is not a de Polignac number, because 2225249325 - 22 = 2225249321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2225249325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225249321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 377460 + ... + 383309.

It is an arithmetic number, because the mean of its divisors is an integer number (119229565).

Almost surely, 22225249325 is an apocalyptic number.

2225249325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2225249325 is a deficient number, since it is larger than the sum of its proper divisors (2067015015).

2225249325 is a wasteful number, since it uses less digits than its factorization.

2225249325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760798 (or 760790 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 2225249325 is about 47172.5484259649. The cubic root of 2225249325 is about 1305.5481468788.

The spelling of 2225249325 in words is "two billion, two hundred twenty-five million, two hundred forty-nine thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 760769 2282307 3803845 6846921 9889997 11411535 19019225 29669991 34234605 49449985 57057675 89009973 148349955 171173025 247249925 445049865 741749775 2225249325