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225010600 = 23521125053
BaseRepresentation
bin11010110100101…
…10001110101000
3120200101201111221
431122112032220
5430100314400
634154431424
75401362403
oct1532261650
9520351457
10225010600
11106015881
1263432574
1337803289
1421c52d3a
1514b49c1a
hexd6963a8

225010600 has 24 divisors (see below), whose sum is σ = 523150110. Its totient is φ = 90004160.

The previous prime is 225010567. The next prime is 225010619. The reversal of 225010600 is 6010522.

It is a happy number.

225010600 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 175138756 + 49871844 = 13234^2 + 7062^2 .

It is a super-2 number, since 2×2250106002 = 101259540224720000, which contains 22 as substring.

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, 562327 + ... + 562726.

Almost surely, 2225010600 is an apocalyptic number.

225010600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225010600 is an abundant number, since it is smaller than the sum of its proper divisors (298139510).

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

225010600 is a wasteful number, since it uses less digits than its factorization.

225010600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125069 (or 1125060 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 225010600 is about 15000.3533291719. The cubic root of 225010600 is about 608.2297507172.

The spelling of 225010600 in words is "two hundred twenty-five million, ten thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1125053 2250106 4500212 5625265 9000424 11250530 22501060 28126325 45002120 56252650 112505300 225010600