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225900200 = 23521129501
BaseRepresentation
bin11010111011011…
…11011010101000
3120202001220211002
431131233122220
5430312301300
634225454132
75412056111
oct1535573250
9522056732
10225900200
11106573189
12637a1348
1337a55176
1422005208
1514c735d5
hexd76f6a8

225900200 has 24 divisors (see below), whose sum is σ = 525218430. Its totient is φ = 90360000.

The previous prime is 225900197. The next prime is 225900209. The reversal of 225900200 is 2009522.

It can be written as a sum of positive squares in 3 ways, for example, as 135536164 + 90364036 = 11642^2 + 9506^2 .

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

It is not an unprimeable number, because it can be changed into a prime (225900209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 564551 + ... + 564950.

Almost surely, 2225900200 is an apocalyptic number.

225900200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225900200 is an abundant number, since it is smaller than the sum of its proper divisors (299318230).

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

225900200 is a wasteful number, since it uses less digits than its factorization.

225900200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129517 (or 1129508 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 225900200 is about 15029.9767132221. The cubic root of 225900200 is about 609.0302606739.

Adding to 225900200 its reverse (2009522), we get a palindrome (227909722).

The spelling of 225900200 in words is "two hundred twenty-five million, nine hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1129501 2259002 4518004 5647505 9036008 11295010 22590020 28237525 45180040 56475050 112950100 225900200