Search a number
-
+
2223060 = 223576779
BaseRepresentation
bin1000011110101111010100
311011221110120
420132233110
51032114220
6115351540
724616140
oct10365724
94157416
102223060
111289244
128b25b0
135cab28
1441c220
152dda40
hex21ebd4

2223060 has 96 divisors (see below), whose sum is σ = 7311360. Its totient is φ = 494208.

The previous prime is 2223059. The next prime is 2223079. The reversal of 2223060 is 603222.

Adding to 2223060 its reverse (603222), we get a palindrome (2826282).

2223060 = T111 + T112 + ... + T244.

2223060 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

2223060 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28101 + ... + 28179.

It is an arithmetic number, because the mean of its divisors is an integer number (76160).

22223060 is an apocalyptic number.

2223060 is a gapful number since it is divisible by the number (20) 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 2223060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655680).

2223060 is an abundant number, since it is smaller than the sum of its proper divisors (5088300).

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

2223060 is a wasteful number, since it uses less digits than its factorization.

2223060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2223060 is about 1490.9929577298. The cubic root of 2223060 is about 130.5119849242.

The spelling of 2223060 in words is "two million, two hundred twenty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 79 84 105 134 140 158 201 210 237 268 316 335 395 402 420 469 474 553 670 790 804 938 948 1005 1106 1185 1340 1407 1580 1659 1876 2010 2212 2345 2370 2765 2814 3318 4020 4690 4740 5293 5530 5628 6636 7035 8295 9380 10586 11060 14070 15879 16590 21172 26465 28140 31758 33180 37051 52930 63516 74102 79395 105860 111153 148204 158790 185255 222306 317580 370510 444612 555765 741020 1111530 2223060