Search a number
-
+
225346340 = 22517365129
BaseRepresentation
bin11010110111010…
…00001100100100
3120201000210001202
431123220030210
5430142040330
634205542032
75404261262
oct1533501444
9521023052
10225346340
1110622504a
1263574918
13378c003b
1421cdd432
1514bb4445
hexd6e8324

225346340 has 24 divisors (see below), whose sum is σ = 475970040. Its totient is φ = 89616128.

The previous prime is 225346337. The next prime is 225346343. The reversal of 225346340 is 43643522.

It is an interprime number because it is at equal distance from previous prime (225346337) and next prime (225346343).

It can be written as a sum of positive squares in 4 ways, for example, as 21827584 + 203518756 = 4672^2 + 14266^2 .

It is not an unprimeable number, because it can be changed into a prime (225346343) 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 7 ways as a sum of consecutive naturals, for example, 29105 + ... + 36024.

It is an arithmetic number, because the mean of its divisors is an integer number (19832085).

Almost surely, 2225346340 is an apocalyptic number.

225346340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225346340 is an abundant number, since it is smaller than the sum of its proper divisors (250623700).

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

225346340 is a wasteful number, since it uses less digits than its factorization.

225346340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65311 (or 65309 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 225346340 is about 15011.5402274384. The cubic root of 225346340 is about 608.5321151011.

Adding to 225346340 its reverse (43643522), we get a palindrome (268989862).

The spelling of 225346340 in words is "two hundred twenty-five million, three hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 65129 130258 260516 325645 651290 1302580 11267317 22534634 45069268 56336585 112673170 225346340