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224314434 = 2341499293
BaseRepresentation
bin11010101111011…
…00010001000010
3120122002100120000
431113230101002
5424411030214
634131500430
75362432641
oct1527542102
9518070500
10224314434
1110568a833
1263157716
133761b446
1421b11358
1514a5d809
hexd5ec442

224314434 has 40 divisors (see below), whose sum is σ = 506058300. Its totient is φ = 74261664.

The previous prime is 224314429. The next prime is 224314457. The reversal of 224314434 is 434413422.

It is a happy number.

224314434 is a `hidden beast` number, since 224 + 3 + 1 + 4 + 434 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 178142409 + 46172025 = 13347^2 + 6795^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224314398 and 224314407.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 19492 + ... + 28784.

Almost surely, 2224314434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224314434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253029150).

224314434 is an abundant number, since it is smaller than the sum of its proper divisors (281743866).

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

224314434 is a wasteful number, since it uses less digits than its factorization.

224314434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9456 (or 9447 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 224314434 is about 14977.1303659947. The cubic root of 224314434 is about 607.6018302095.

Adding to 224314434 its reverse (434413422), we get a palindrome (658727856).

The spelling of 224314434 in words is "two hundred twenty-four million, three hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 447 894 1341 2682 4023 8046 9293 12069 18586 24138 27879 55758 83637 167274 250911 501822 752733 1384657 1505466 2769314 4153971 8307942 12461913 24923826 37385739 74771478 112157217 224314434