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224141214 = 231119473803
BaseRepresentation
bin11010101110000…
…01111110011110
3120121202112221110
431113001332132
5424340004324
634124042450
75361111633
oct1527017636
9517675843
10224141214
11105581680
1263093426
133758a64b
1421aa818a
1514a27329
hexd5c1f9e

224141214 has 64 divisors (see below), whose sum is σ = 525864960. Its totient is φ = 62961120.

The previous prime is 224141173. The next prime is 224141237. The reversal of 224141214 is 412141422.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 57037 + ... + 60839.

It is an arithmetic number, because the mean of its divisors is an integer number (8216640).

Almost surely, 2224141214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224141214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262932480).

224141214 is an abundant number, since it is smaller than the sum of its proper divisors (301723746).

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

224141214 is a wasteful number, since it uses less digits than its factorization.

224141214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885.

The product of its digits is 512, while the sum is 21.

The square root of 224141214 is about 14971.3464324355. The cubic root of 224141214 is about 607.4453892551.

Adding to 224141214 its reverse (412141422), we get a palindrome (636282636).

The spelling of 224141214 in words is "two hundred twenty-four million, one hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 47 57 66 94 114 141 209 282 418 517 627 893 1034 1254 1551 1786 2679 3102 3803 5358 7606 9823 11409 19646 22818 29469 41833 58938 72257 83666 125499 144514 178741 216771 250998 357482 433542 536223 794827 1072446 1589654 1966151 2384481 3396079 3932302 4768962 5898453 6792158 10188237 11796906 20376474 37356869 74713738 112070607 224141214