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224434314 = 237133947
BaseRepresentation
bin11010110000010…
…01100010001010
3120122022110000000
431120021202022
5424423344224
634134223430
75363442306
oct1530114212
9518273000
10224434314
11105761905
12631b4b76
1337660b90
1421b42d06
1514a840c9
hexd60988a

224434314 has 64 divisors (see below), whose sum is σ = 543876480. Its totient is φ = 69039216.

The previous prime is 224434313. The next prime is 224434321. The reversal of 224434314 is 413434422.

It is a happy number.

224434314 is a `hidden beast` number, since 224 + 4 + 3 + 431 + 4 = 666.

It is a super-2 number, since 2×2244343142 = 100741522601301192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (224434313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54889 + ... + 58835.

It is an arithmetic number, because the mean of its divisors is an integer number (8498070).

Almost surely, 2224434314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224434314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271938240).

224434314 is an abundant number, since it is smaller than the sum of its proper divisors (319442166).

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

224434314 is an equidigital number, since it uses as much as digits as its factorization.

224434314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983 (or 3965 counting only the distinct ones).

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

The square root of 224434314 is about 14981.1319332018. The cubic root of 224434314 is about 607.7100508207.

Adding to 224434314 its reverse (413434422), we get a palindrome (637868736).

The spelling of 224434314 in words is "two hundred twenty-four million, four hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 2187 3159 3947 4374 6318 7894 9477 11841 18954 23682 28431 35523 51311 56862 71046 102622 106569 153933 213138 307866 319707 461799 639414 923598 959121 1385397 1918242 2770794 2877363 4156191 5754726 8312382 8632089 12468573 17264178 24937146 37405719 74811438 112217157 224434314