Search a number
-
+
22725200 = 245256813
BaseRepresentation
bin101011010110…
…0001001010000
31120202120010002
41112230021100
521304201300
62131025132
7364106141
oct126541120
946676102
1022725200
1111911863
12773b1a8
134928984
143037ac8
151edd5d5
hex15ac250

22725200 has 30 divisors (see below), whose sum is σ = 54598254. Its totient is φ = 9089920.

The previous prime is 22725187. The next prime is 22725211. The reversal of 22725200 is 252722.

It can be written as a sum of positive squares in 3 ways, for example, as 7011904 + 15713296 = 2648^2 + 3964^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28007 + ... + 28806.

Almost surely, 222725200 is an apocalyptic number.

22725200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22725200 is an abundant number, since it is smaller than the sum of its proper divisors (31873054).

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

22725200 is a wasteful number, since it uses less digits than its factorization.

22725200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56831 (or 56820 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 22725200 is about 4767.0955518009. The cubic root of 22725200 is about 283.2495561613.

Adding to 22725200 its reverse (252722), we get a palindrome (22977922).

The spelling of 22725200 in words is "twenty-two million, seven hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 56813 113626 227252 284065 454504 568130 909008 1136260 1420325 2272520 2840650 4545040 5681300 11362600 22725200