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225825300 = 22335283639
BaseRepresentation
bin11010111010111…
…01001000010100
3120201221010002000
431131131020110
5430302402200
634224115300
75411324541
oct1535351024
9521833060
10225825300
11106521988
1263765b30
1337a2a04c
1421dc5bc8
1514c5b300
hexd75d214

225825300 has 72 divisors (see below), whose sum is σ = 725995200. Its totient is φ = 60219360.

The previous prime is 225825287. The next prime is 225825311. The reversal of 225825300 is 3528522.

225825300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2258253002 = 101994132240180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39120 + ... + 44519.

Almost surely, 2225825300 is an apocalyptic number.

225825300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225825300 is an abundant number, since it is smaller than the sum of its proper divisors (500169900).

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

225825300 is a wasteful number, since it uses less digits than its factorization.

225825300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83662 (or 83649 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 225825300 is about 15027.4848194899. The cubic root of 225825300 is about 608.9629427329.

The spelling of 225825300 in words is "two hundred twenty-five million, eight hundred twenty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 83639 167278 250917 334556 418195 501834 752751 836390 1003668 1254585 1505502 1672780 2090975 2258253 2509170 3011004 3763755 4181950 4516506 5018340 6272925 7527510 8363900 9033012 11291265 12545850 15055020 18818775 22582530 25091700 37637550 45165060 56456325 75275100 112912650 225825300