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225147200 = 2652140717
BaseRepresentation
bin11010110101101…
…11100101000000
3120200122122220012
431122313211000
5430114202300
634201404052
75402501555
oct1532674500
9520578805
10225147200
111060a9473
1263499628
13378504c5
1421c8aa2c
1514b75435
hexd6b7940

225147200 has 42 divisors (see below), whose sum is σ = 554006766. Its totient is φ = 90058240.

The previous prime is 225147187. The next prime is 225147227. The reversal of 225147200 is 2741522.

It is a happy number.

225147200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 64770304 + 160376896 = 8048^2 + 12664^2 .

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, 68759 + ... + 71958.

Almost surely, 2225147200 is an apocalyptic number.

225147200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225147200 is an abundant number, since it is smaller than the sum of its proper divisors (328859566).

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

225147200 is a wasteful number, since it uses less digits than its factorization.

225147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140739 (or 140724 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 225147200 is about 15004.9058644165. The cubic root of 225147200 is about 608.3528077000.

Adding to 225147200 its reverse (2741522), we get a palindrome (227888722).

The spelling of 225147200 in words is "two hundred twenty-five million, one hundred forty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 140717 281434 562868 703585 1125736 1407170 2251472 2814340 3517925 4502944 5628680 7035850 9005888 11257360 14071700 22514720 28143400 45029440 56286800 112573600 225147200