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224967609 = 3231778853
BaseRepresentation
bin11010110100010…
…11101110111001
3120200022112112200
431122023232321
5430042430414
634153500413
75401123146
oct1532135671
9520275480
10224967609
11105a96549
1263411709
13377b9839
1421c413cd
1514b3c109
hexd68bbb9

224967609 has 12 divisors (see below), whose sum is σ = 325982436. Its totient is φ = 149503392.

The previous prime is 224967583. The next prime is 224967641. The reversal of 224967609 is 906769422.

It can be written as a sum of positive squares in 2 ways, for example, as 10989225 + 213978384 = 3315^2 + 14628^2 .

It is not a de Polignac number, because 224967609 - 211 = 224965561 is a prime.

It is a super-2 number, since 2×2249676092 = 101220850198353762, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (224967679) 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 11 ways as a sum of consecutive naturals, for example, 36574 + ... + 42279.

It is an arithmetic number, because the mean of its divisors is an integer number (27165203).

Almost surely, 2224967609 is an apocalyptic number.

It is an amenable number.

224967609 is a deficient number, since it is larger than the sum of its proper divisors (101014827).

224967609 is a wasteful number, since it uses less digits than its factorization.

224967609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79176 (or 79173 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 224967609 is about 14998.9202611388. The cubic root of 224967609 is about 608.1910116967.

The spelling of 224967609 in words is "two hundred twenty-four million, nine hundred sixty-seven thousand, six hundred nine".

Divisors: 1 3 9 317 951 2853 78853 236559 709677 24996401 74989203 224967609