Search a number
-
+
22444220 = 22541101271
BaseRepresentation
bin101010110011…
…1100010111100
31120020021200102
41111213202330
521221203340
62121020232
7361526021
oct125474274
946207612
1022444220
111173a747
127624678
13485ab06
142da3548
151e85215
hex15678bc

22444220 has 48 divisors (see below), whose sum is σ = 48940416. Its totient is φ = 8640000.

The previous prime is 22444211. The next prime is 22444223. The reversal of 22444220 is 2244422.

It is a super-2 number, since 2×224442202 = 1007486022816800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 22444192 and 22444201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22444223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82685 + ... + 82955.

It is an arithmetic number, because the mean of its divisors is an integer number (1019592).

Almost surely, 222444220 is an apocalyptic number.

22444220 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 22444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24470208).

22444220 is an abundant number, since it is smaller than the sum of its proper divisors (26496196).

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

22444220 is a wasteful number, since it uses less digits than its factorization.

22444220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 22444220 is about 4737.5331133407. The cubic root of 22444220 is about 282.0773223242.

22444220 divided by its sum of digits (20) gives a palindrome (1122211).

Adding to 22444220 its reverse (2244422), we get a palindrome (24688642).

It can be divided in two parts, 224 and 44220, that added together give a palindrome (44444).

The spelling of 22444220 in words is "twenty-two million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 271 404 410 505 542 820 1010 1084 1355 2020 2710 4141 5420 8282 11111 16564 20705 22222 27371 41410 44444 54742 55555 82820 109484 111110 136855 222220 273710 547420 1122211 2244422 4488844 5611055 11222110 22444220