Search a number
-
+
224222020 = 2251110110091
BaseRepresentation
bin11010101110101…
…01101101000100
3120121220122210021
431113111231010
5424400101040
634125504524
75361566341
oct1527255504
9517818707
10224222020
11105627360
1263112144
13375b8369
1421ac97c8
1514a4124a
hexd5d5b44

224222020 has 48 divisors (see below), whose sum is σ = 518809536. Its totient is φ = 80720000.

The previous prime is 224221979. The next prime is 224222041. The reversal of 224222020 is 20222422.

It is a junction number, because it is equal to n+sod(n) for n = 224221985 and 224222003.

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, 17175 + ... + 27265.

It is an arithmetic number, because the mean of its divisors is an integer number (10808532).

Almost surely, 2224222020 is an apocalyptic number.

224222020 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 224222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259404768).

224222020 is an abundant number, since it is smaller than the sum of its proper divisors (294587516).

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

224222020 is a wasteful number, since it uses less digits than its factorization.

224222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10212 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 224222020 is about 14974.0448777209. The cubic root of 224222020 is about 607.5183779658.

Adding to 224222020 its reverse (20222422), we get a palindrome (244444442).

It can be divided in two parts, 22422 and 2020, that added together give a palindrome (24442).

The spelling of 224222020 in words is "two hundred twenty-four million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 10091 11110 20182 22220 40364 50455 100910 111001 201820 222002 444004 555005 1019191 1110010 2038382 2220020 4076764 5095955 10191910 11211101 20383820 22422202 44844404 56055505 112111010 224222020