Search a number
-
+
22956200 = 2352114781
BaseRepresentation
bin101011110010…
…0100010101000
31121012021222122
41113210202220
521334044300
62140010412
7366060461
oct127444250
947167878
1022956200
1111a5a373
127830a08
1349a9b67
143097d68
152036c85
hex15e48a8

22956200 has 24 divisors (see below), whose sum is σ = 53373630. Its totient is φ = 9182400.

The previous prime is 22956181. The next prime is 22956203. The reversal of 22956200 is 265922.

It can be written as a sum of positive squares in 3 ways, for example, as 8773444 + 14182756 = 2962^2 + 3766^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22956200.

It is not an unprimeable number, because it can be changed into a prime (22956203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57191 + ... + 57590.

Almost surely, 222956200 is an apocalyptic number.

22956200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22956200 is an abundant number, since it is smaller than the sum of its proper divisors (30417430).

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

22956200 is a wasteful number, since it uses less digits than its factorization.

22956200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114797 (or 114788 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 22956200 is about 4791.2628815376. The cubic root of 22956200 is about 284.2060595404.

The spelling of 22956200 in words is "twenty-two million, nine hundred fifty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 114781 229562 459124 573905 918248 1147810 2295620 2869525 4591240 5739050 11478100 22956200