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223434414 = 232721967199
BaseRepresentation
bin11010101000101…
…01011010101110
3120120102122101200
431110111122232
5424144400124
634100550330
75352106200
oct1524253256
9516378350
10223434414
11105139645
12629b23a6
13373a0a18
1421962770
1514937bc9
hexd5156ae

223434414 has 144 divisors (see below), whose sum is σ = 604656000. Its totient is φ = 59276448.

The previous prime is 223434403. The next prime is 223434439. The reversal of 223434414 is 414434322.

It is a happy number.

223434414 is a `hidden beast` number, since 223 + 434 + 4 + 1 + 4 = 666.

223434414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1122687 + ... + 1122885.

It is an arithmetic number, because the mean of its divisors is an integer number (4199000).

Almost surely, 2223434414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223434414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302328000).

223434414 is an abundant number, since it is smaller than the sum of its proper divisors (381221586).

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

223434414 is a wasteful number, since it uses less digits than its factorization.

223434414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

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

The square root of 223434414 is about 14947.7227028066. The cubic root of 223434414 is about 606.8062170752.

Adding to 223434414 its reverse (414434322), we get a palindrome (637868736).

The spelling of 223434414 in words is "two hundred twenty-three million, four hundred thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 67 98 114 126 133 134 147 171 199 201 266 294 342 398 399 402 441 469 597 603 798 882 931 938 1194 1197 1206 1273 1393 1407 1791 1862 2394 2546 2786 2793 2814 3283 3582 3781 3819 4179 4221 5586 6566 7562 7638 8358 8379 8442 8911 9751 9849 11343 11457 12537 13333 16758 17822 19502 19698 22686 22914 25074 26467 26666 26733 29253 29547 34029 39999 52934 53466 58506 59094 62377 68058 79401 79998 80199 87759 93331 119997 124754 158802 160398 175518 185269 186662 187131 238203 239994 253327 279993 370538 374262 476406 506654 555807 559986 561393 653317 759981 839979 1111614 1122786 1306634 1519962 1667421 1679958 1773289 1959951 2279943 3334842 3546578 3919902 4559886 5319867 5879853 10639734 11759706 12413023 15959601 24826046 31919202 37239069 74478138 111717207 223434414