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424102224 = 243713151643
BaseRepresentation
bin11001010001110…
…100100101010000
31002120000121212210
4121101310211100
51332032232344
6110025552120
713336544430
oct3121644520
91076017783
10424102224
111a8438307
12ba045640
1369b2cc80
144047a2c0
1527374db9
hex19474950

424102224 has 160 divisors (see below), whose sum is σ = 1359468544. Its totient is φ = 110937600.

The previous prime is 424102223. The next prime is 424102229. The reversal of 424102224 is 422201424.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 424102224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424102223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659247 + ... + 659889.

Almost surely, 2424102224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679734272).

424102224 is an abundant number, since it is smaller than the sum of its proper divisors (935366320).

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

424102224 is a wasteful number, since it uses less digits than its factorization.

424102224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 424102224 is about 20593.7423505297. The cubic root of 424102224 is about 751.3175206084.

Adding to 424102224 its reverse (422201424), we get a palindrome (846303648).

The spelling of 424102224 in words is "four hundred twenty-four million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 151 156 168 182 208 273 302 312 336 364 453 546 604 624 643 728 906 1057 1092 1208 1286 1456 1812 1929 1963 2114 2184 2416 2572 3171 3624 3858 3926 4228 4368 4501 5144 5889 6342 7248 7716 7852 8359 8456 9002 10288 11778 12684 13503 13741 15432 15704 16718 16912 18004 23556 25077 25368 27006 27482 30864 31408 33436 36008 41223 47112 50154 50736 54012 54964 58513 66872 72016 82446 94224 97093 100308 108024 109928 117026 133744 164892 175539 194186 200616 216048 219856 234052 291279 329784 351078 388372 401232 468104 582558 659568 679651 702156 776744 936208 1165116 1262209 1359302 1404312 1553488 2038953 2330232 2524418 2718604 2808624 3786627 4077906 4660464 5048836 5437208 7573254 8155812 8835463 10097672 10874416 15146508 16311624 17670926 20195344 26506389 30293016 32623248 35341852 53012778 60586032 70683704 106025556 141367408 212051112 424102224