Search a number
-
+
56665224 = 23337113407
BaseRepresentation
bin1101100000101…
…0010010001000
310221121220002000
43120022102020
5104001241344
65342311000
71255434510
oct330122210
9127556060
1056665224
1129a93470
1216b88460
13b980125
147750840
154e94a69
hex360a488

56665224 has 128 divisors (see below), whose sum is σ = 196300800. Its totient is φ = 14713920.

The previous prime is 56665223. The next prime is 56665237. The reversal of 56665224 is 42256665.

It is a super-2 number, since 2×566652242 = 6421895221940352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56665223) 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, 14929 + ... + 18335.

It is an arithmetic number, because the mean of its divisors is an integer number (1533600).

Almost surely, 256665224 is an apocalyptic number.

56665224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56665224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98150400).

56665224 is an abundant number, since it is smaller than the sum of its proper divisors (139635576).

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

56665224 is a wasteful number, since it uses less digits than its factorization.

56665224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3430 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 56665224 is about 7527.6307029503. The cubic root of 56665224 is about 384.0951912445.

The spelling of 56665224 in words is "fifty-six million, six hundred sixty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 3407 4158 5544 6814 8316 10221 13628 16632 20442 23849 27256 30663 37477 40884 47698 61326 71547 74954 81768 91989 95396 112431 122652 143094 149908 183978 190792 214641 224862 245304 262339 286188 299816 337293 367956 429282 449724 524678 572376 643923 674586 735912 787017 858564 899448 1011879 1049356 1287846 1349172 1574034 1717128 2023758 2098712 2361051 2575692 2698344 3148068 4047516 4722102 5151384 6296136 7083153 8095032 9444204 14166306 18888408 28332612 56665224