Search a number
-
+
22006824 = 2337294517
BaseRepresentation
bin101001111110…
…0110000101000
31112102001200120
41103330300220
521113204244
62103403240
7355024560
oct123746050
945361616
1022006824
1111471064
127453520
1347369b8
142ccbda0
151dea819
hex14fcc28

22006824 has 64 divisors (see below), whose sum is σ = 65059200. Its totient is φ = 6069504.

The previous prime is 22006801. The next prime is 22006843. The reversal of 22006824 is 42860022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22006794 and 22006803.

It is a congruent number.

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, 2614 + ... + 7130.

It is an arithmetic number, because the mean of its divisors is an integer number (1016550).

Almost surely, 222006824 is an apocalyptic number.

22006824 is a gapful number since it is divisible by the number (24) 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 22006824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32529600).

22006824 is an abundant number, since it is smaller than the sum of its proper divisors (43052376).

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

22006824 is a wasteful number, since it uses less digits than its factorization.

22006824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22006824 is about 4691.1431442667. The cubic root of 22006824 is about 280.2329014591.

Adding to 22006824 its reverse (42860022), we get a palindrome (64866846).

The spelling of 22006824 in words is "twenty-two million, six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4517 4872 9034 13551 18068 27102 31619 36136 54204 63238 94857 108408 126476 130993 189714 252952 261986 379428 392979 523972 758856 785958 916951 1047944 1571916 1833902 2750853 3143832 3667804 5501706 7335608 11003412 22006824