Search a number
-
+
225065526 = 23721943937
BaseRepresentation
bin11010110101000…
…11101000110110
3120200111111212020
431122203220312
5430104044101
634155534010
75402011500
oct1532435066
9520444766
10225065526
11106053074
126345a306
133782228a
1421c68d70
1514b5b136
hexd6a3a36

225065526 has 96 divisors (see below), whose sum is σ = 564600960. Its totient is φ = 59439744.

The previous prime is 225065509. The next prime is 225065531. The reversal of 225065526 is 625560522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239730 + ... + 240666.

It is an arithmetic number, because the mean of its divisors is an integer number (5881260).

Almost surely, 2225065526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225065526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282300480).

225065526 is an abundant number, since it is smaller than the sum of its proper divisors (339535434).

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

225065526 is a wasteful number, since it uses less digits than its factorization.

225065526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 225065526 is about 15002.1840409988. The cubic root of 225065526 is about 608.2792371404.

It can be divided in two parts, 2250 and 65526, that added together give a palindrome (67776).

The spelling of 225065526 in words is "two hundred twenty-five million, sixty-five thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 43 49 57 86 98 114 129 133 147 258 266 294 301 399 602 798 817 903 931 937 1634 1806 1862 1874 2107 2451 2793 2811 4214 4902 5586 5622 5719 6321 6559 11438 12642 13118 17157 17803 19677 34314 35606 39354 40033 40291 45913 53409 80066 80582 91826 106818 120099 120873 124621 137739 240198 241746 249242 275478 282037 373863 564074 747726 765529 846111 872347 1531058 1692222 1744694 1974259 2296587 2617041 3948518 4593174 5234082 5358703 5922777 10717406 11845554 16076109 32152218 37510921 75021842 112532763 225065526