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225423330 = 235114116661
BaseRepresentation
bin11010110111110…
…10111111100010
3120201011200200020
431123322333202
5430202021310
634211334310
75405031606
oct1533727742
9521150606
10225423330
11106277980
12635b1396
13379190b2
1421d1d506
1514bcc170
hexd6fafe2

225423330 has 64 divisors (see below), whose sum is σ = 604630656. Its totient is φ = 53312000.

The previous prime is 225423313. The next prime is 225423347. The reversal of 225423330 is 33324522.

It is an interprime number because it is at equal distance from previous prime (225423313) and next prime (225423347).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225423330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5200 + ... + 21860.

It is an arithmetic number, because the mean of its divisors is an integer number (9447354).

Almost surely, 2225423330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225423330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302315328).

225423330 is an abundant number, since it is smaller than the sum of its proper divisors (379207326).

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

225423330 is a wasteful number, since it uses less digits than its factorization.

225423330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16723.

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 225423330 is about 15014.1043688926. The cubic root of 225423330 is about 608.6014092566.

Adding to 225423330 its reverse (33324522), we get a palindrome (258747852).

The spelling of 225423330 in words is "two hundred twenty-five million, four hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 2255 2706 4510 6765 13530 16661 33322 49983 83305 99966 166610 183271 249915 366542 499830 549813 683101 916355 1099626 1366202 1832710 2049303 2749065 3415505 4098606 5498130 6831010 7514111 10246515 15028222 20493030 22542333 37570555 45084666 75141110 112711665 225423330