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224120214 = 232174317033
BaseRepresentation
bin11010101101111…
…00110110010110
3120121201111010200
431112330312112
5424333321324
634123401330
75360663463
oct1526746626
9517644120
10224120214
1110556791a
1263083246
1337580c16
1421aa066a
1514a20ec9
hexd5bcd96

224120214 has 48 divisors (see below), whose sum is σ = 526146192. Its totient is φ = 68673024.

The previous prime is 224120213. The next prime is 224120251. The reversal of 224120214 is 412021422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224120213) 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 23 ways as a sum of consecutive naturals, for example, 4642 + ... + 21674.

It is an arithmetic number, because the mean of its divisors is an integer number (10961379).

Almost surely, 2224120214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224120214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263073096).

224120214 is an abundant number, since it is smaller than the sum of its proper divisors (302025978).

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

224120214 is a wasteful number, since it uses less digits than its factorization.

224120214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17101 (or 17098 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 224120214 is about 14970.6450762818. The cubic root of 224120214 is about 607.4264179537.

Adding to 224120214 its reverse (412021422), we get a palindrome (636141636).

The spelling of 224120214 in words is "two hundred twenty-four million, one hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 774 1462 2193 4386 6579 13158 17033 34066 51099 102198 153297 289561 306594 579122 732419 868683 1464838 1737366 2197257 2606049 4394514 5212098 6591771 12451123 13183542 24902246 37353369 74706738 112060107 224120214