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225607269 = 32918114327
BaseRepresentation
bin11010111001001…
…11111001100101
3120201112000222210
431130213321211
5430223413034
634215314033
75406426066
oct1534477145
9521460883
10225607269
11106393098
126367b919
1337981a34
1421d6a56d
1514c168e9
hexd727e65

225607269 has 16 divisors (see below), whose sum is σ = 312923520. Its totient is φ = 144406080.

The previous prime is 225607267. The next prime is 225607271. The reversal of 225607269 is 962706522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225607267) and next prime (225607271).

It is not a de Polignac number, because 225607269 - 21 = 225607267 is a prime.

It is a super-2 number, since 2×2256072692 = 101797279651276722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225607267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8584 + ... + 22910.

It is an arithmetic number, because the mean of its divisors is an integer number (19557720).

Almost surely, 2225607269 is an apocalyptic number.

225607269 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

225607269 is a deficient number, since it is larger than the sum of its proper divisors (87316251).

225607269 is a wasteful number, since it uses less digits than its factorization.

225607269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14540.

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 225607269 is about 15020.2286600438. The cubic root of 225607269 is about 608.7668980435.

The spelling of 225607269 in words is "two hundred twenty-five million, six hundred seven thousand, two hundred sixty-nine".

Divisors: 1 3 29 87 181 543 5249 14327 15747 42981 415483 1246449 2593187 7779561 75202423 225607269