Search a number
-
+
2224068 = 2237112983
BaseRepresentation
bin1000011110111111000100
311011222211220
420132333010
51032132233
6115400340
724622110
oct10367704
94158756
102224068
111289a80
128b30b0
135cb422
1441c740
152ddeb3
hex21efc4

2224068 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 551040.

The previous prime is 2224063. The next prime is 2224069. The reversal of 2224068 is 8604222.

It is not an unprimeable number, because it can be changed into a prime (2224063) 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, 26755 + ... + 26837.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

22224068 is an apocalyptic number.

2224068 is a gapful number since it is divisible by the number (28) 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 2224068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2224068 is an abundant number, since it is smaller than the sum of its proper divisors (4549692).

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

2224068 is a wasteful number, since it uses less digits than its factorization.

2224068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2224068 is about 1491.3309491860. The cubic root of 2224068 is about 130.5317079189.

It can be divided in two parts, 22 and 24068, that added together give a triangular number (24090 = T219).

The spelling of 2224068 in words is "two million, two hundred twenty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 83 84 87 116 132 154 166 174 203 231 249 308 319 332 348 406 462 498 581 609 638 812 913 924 957 996 1162 1218 1276 1743 1826 1914 2233 2324 2407 2436 2739 3486 3652 3828 4466 4814 5478 6391 6699 6972 7221 8932 9628 10956 12782 13398 14442 16849 19173 25564 26477 26796 28884 33698 38346 50547 52954 67396 76692 79431 101094 105908 158862 185339 202188 317724 370678 556017 741356 1112034 2224068