Search a number
-
+
225069104 = 24137913697
BaseRepresentation
bin11010110101001…
…00100000110000
3120200111200202202
431122210200300
5430104202404
634200002332
75402025101
oct1532444060
9520450682
10225069104
11106055827
12634603a8
1337823ab0
1421c6a3a8
1514b5c21e
hexd6a4830

225069104 has 40 divisors (see below), whose sum is σ = 475594560. Its totient is φ = 102555648.

The previous prime is 225069071. The next prime is 225069121. The reversal of 225069104 is 401960522.

It is a happy number.

It is a super-2 number, since 2×2250691042 = 101312203150725632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9584 + ... + 23280.

It is an arithmetic number, because the mean of its divisors is an integer number (11889864).

Almost surely, 2225069104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225069104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237797280).

225069104 is an abundant number, since it is smaller than the sum of its proper divisors (250525456).

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

225069104 is a wasteful number, since it uses less digits than its factorization.

225069104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13797 (or 13791 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 225069104 is about 15002.3032898285. The cubic root of 225069104 is about 608.2824605151.

The spelling of 225069104 in words is "two hundred twenty-five million, sixty-nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 316 632 1027 1264 2054 4108 8216 13697 16432 27394 54788 109576 178061 219152 356122 712244 1082063 1424488 2164126 2848976 4328252 8656504 14066819 17313008 28133638 56267276 112534552 225069104