[go: up one dir, main page]

Search a number
-
+
2224020 = 2235101367
BaseRepresentation
bin1000011110111110010100
311011222210010
420132332110
51032132040
6115400220
724622011
oct10367624
94158703
102224020
111289a37
128b3070
135cb3b6
1441c708
152dde80
hex21ef94

2224020 has 48 divisors (see below), whose sum is σ = 6306048. Its totient is φ = 585600.

The previous prime is 2224009. The next prime is 2224037. The reversal of 2224020 is 204222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2223987 and 2224005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5877 + ... + 6243.

It is an arithmetic number, because the mean of its divisors is an integer number (131376).

22224020 is an apocalyptic number.

2224020 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 2224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153024).

2224020 is an abundant number, since it is smaller than the sum of its proper divisors (4082028).

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

2224020 is a wasteful number, since it uses less digits than its factorization.

2224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2224020 is about 1491.3148560918. The cubic root of 2224020 is about 130.5307688638.

Adding to 2224020 its reverse (204222), we get a palindrome (2428242).

It can be divided in two parts, 22 and 24020, that added together give a palindrome (24042).

The spelling of 2224020 in words is "two million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 367 404 505 606 734 1010 1101 1212 1468 1515 1835 2020 2202 3030 3670 4404 5505 6060 7340 11010 22020 37067 74134 111201 148268 185335 222402 370670 444804 556005 741340 1112010 2224020