Search a number
-
+
22053024 = 2532710939
BaseRepresentation
bin101010000100…
…0000010100000
31112111102001200
41110020002200
521121144044
62104401200
7355306350
oct124100240
945442050
1022053024
11114a2844
127476200
134751a36
142d00b60
151e09369
hex15080a0

22053024 has 72 divisors (see below), whose sum is σ = 71678880. Its totient is φ = 6300288.

The previous prime is 22052993. The next prime is 22053061. The reversal of 22053024 is 42035022.

22053024 = T327 + T328 + ... + T550.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22052988 and 22053006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3454 + ... + 7485.

It is an arithmetic number, because the mean of its divisors is an integer number (995540).

Almost surely, 222053024 is an apocalyptic number.

22053024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22053024 is an abundant number, since it is smaller than the sum of its proper divisors (49625856).

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

22053024 is a wasteful number, since it uses less digits than its factorization.

22053024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10962 (or 10951 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22053024 is about 4696.0647354993. The cubic root of 22053024 is about 280.4288665936.

Adding to 22053024 its reverse (42035022), we get a palindrome (64088046).

The spelling of 22053024 in words is "twenty-two million, fifty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 10939 21878 32817 43756 65634 76573 87512 98451 131268 153146 175024 196902 229719 262536 306292 350048 393804 459438 525072 612584 689157 787608 918876 1050144 1225168 1378314 1575216 1837752 2450336 2756628 3150432 3675504 5513256 7351008 11026512 22053024