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225204936 = 23311853049
BaseRepresentation
bin11010110110001…
…01101011001000
3120200202121002120
431123011223020
5430123024221
634202531240
75403132105
oct1533055310
9520677076
10225204936
11106138890
1263506b20
1337870878
1421ca3aac
1514b875c6
hexd6c5ac8

225204936 has 32 divisors (see below), whose sum is σ = 614196000. Its totient is φ = 68243840.

The previous prime is 225204913. The next prime is 225204943. The reversal of 225204936 is 639402522.

225204936 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-3 number, since 3×2252049363 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 225204897 and 225204906.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426261 + ... + 426788.

It is an arithmetic number, because the mean of its divisors is an integer number (19193625).

Almost surely, 2225204936 is an apocalyptic number.

It is an amenable number.

225204936 is an abundant number, since it is smaller than the sum of its proper divisors (388991064).

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

225204936 is a wasteful number, since it uses less digits than its factorization.

225204936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853069 (or 853065 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 225204936 is about 15006.8296451982. The cubic root of 225204936 is about 608.4048045799.

The spelling of 225204936 in words is "two hundred twenty-five million, two hundred four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 853049 1706098 2559147 3412196 5118294 6824392 9383539 10236588 18767078 20473176 28150617 37534156 56301234 75068312 112602468 225204936