Search a number
-
+
22440320 = 27575009
BaseRepresentation
bin101010110011…
…0100110000000
31120020002022222
41111212212000
521221042240
62120550212
7361511450
oct125464600
946202288
1022440320
1111737821
127622368
1348590c6
142da1d60
151e83eb5
hex1566980

22440320 has 64 divisors (see below), whose sum is σ = 61322400. Its totient is φ = 7692288.

The previous prime is 22440307. The next prime is 22440347. The reversal of 22440320 is 2304422.

22440320 is nontrivially palindromic in base 6.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1976 + ... + 6984.

Almost surely, 222440320 is an apocalyptic number.

22440320 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 22440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30661200).

22440320 is an abundant number, since it is smaller than the sum of its proper divisors (38882080).

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

22440320 is an equidigital number, since it uses as much as digits as its factorization.

22440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 22440320 is about 4737.1214888369. The cubic root of 22440320 is about 282.0609830724.

Adding to 22440320 its reverse (2304422), we get a palindrome (24744742).

The spelling of 22440320 in words is "twenty-two million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 5009 10018 20036 25045 35063 40072 50090 70126 80144 100180 140252 160288 175315 200360 280504 320576 350630 400720 561008 641152 701260 801440 1122016 1402520 1602880 2244032 2805040 3205760 4488064 5610080 11220160 22440320