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22220320 = 2551131229
BaseRepresentation
bin101010011000…
…0111000100000
31112210220112211
41110300320200
521142022240
62112131504
7356604163
oct124607040
945726484
1022220320
11115a7501
127536b94
1347acc25
142d45ada
151e3dbea
hex1530e20

22220320 has 48 divisors (see below), whose sum is σ = 53003160. Its totient is φ = 8802304.

The previous prime is 22220299. The next prime is 22220321. The reversal of 22220320 is 2302222.

It can be written as a sum of positive squares in 4 ways, for example, as 17943696 + 4276624 = 4236^2 + 2068^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22220320.

It is not an unprimeable number, because it can be changed into a prime (22220321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17466 + ... + 18694.

Almost surely, 222220320 is an apocalyptic number.

22220320 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 22220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26501580).

22220320 is an abundant number, since it is smaller than the sum of its proper divisors (30782840).

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

22220320 is a wasteful number, since it uses less digits than its factorization.

22220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 22220320 is about 4713.8434424575. The cubic root of 22220320 is about 281.1361995566.

Adding to 22220320 its reverse (2302222), we get a palindrome (24522542).

The spelling of 22220320 in words is "twenty-two million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1229 1808 2260 2458 3616 4520 4916 6145 9040 9832 12290 18080 19664 24580 39328 49160 98320 138877 196640 277754 555508 694385 1111016 1388770 2222032 2777540 4444064 5555080 11110160 22220320