Search a number
-
+
225113535 = 32523263827
BaseRepresentation
bin11010110101011…
…11010110111111
3120200120221201100
431122233112333
5430112113120
634200544143
75402301453
oct1532572677
9520527640
10225113535
11106086149
1263482053
133783b09a
1421c7c663
1514b6a490
hexd6af5bf

225113535 has 48 divisors (see below), whose sum is σ = 409204224. Its totient is φ = 114265536.

The previous prime is 225113533. The next prime is 225113549. The reversal of 225113535 is 535311522.

It is a happy number.

It is not a de Polignac number, because 225113535 - 21 = 225113533 is a prime.

It is a super-2 number, since 2×2251135352 = 101352207280392450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225113499 and 225113508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225113533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271792 + ... + 272618.

It is an arithmetic number, because the mean of its divisors is an integer number (8525088).

Almost surely, 2225113535 is an apocalyptic number.

225113535 is a deficient number, since it is larger than the sum of its proper divisors (184090689).

225113535 is a wasteful number, since it uses less digits than its factorization.

225113535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1121 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 225113535 is about 15003.7840227057. The cubic root of 225113535 is about 608.3224849924.

The spelling of 225113535 in words is "two hundred twenty-five million, one hundred thirteen thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 263 345 789 827 1035 1315 2367 2481 3945 4135 6049 7443 11835 12405 18147 19021 30245 37215 54441 57063 90735 95105 171189 217501 272205 285315 652503 855945 1087505 1957509 3262515 5002523 9787545 15007569 25012615 45022707 75037845 225113535