Search a number
-
+
225511660 = 225111576529
BaseRepresentation
bin11010111000100…
…00100011101100
3120201100011211201
431130100203230
5430212333120
634213255244
75405550253
oct1534204354
9521304751
10225511660
11106328280
1263634524
133794a36a
1421d4379a
1514be840a
hexd7108ec

225511660 has 48 divisors (see below), whose sum is σ = 519996960. Its totient is φ = 81469440.

The previous prime is 225511631. The next prime is 225511667. The reversal of 225511660 is 66115522.

It is not an unprimeable number, because it can be changed into a prime (225511667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31276 + ... + 37804.

It is an arithmetic number, because the mean of its divisors is an integer number (10833270).

Almost surely, 2225511660 is an apocalyptic number.

225511660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225511660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259998480).

225511660 is an abundant number, since it is smaller than the sum of its proper divisors (294485300).

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

225511660 is a wasteful number, since it uses less digits than its factorization.

225511660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6706 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 225511660 is about 15017.0456481959. The cubic root of 225511660 is about 608.6808904450.

The spelling of 225511660 in words is "two hundred twenty-five million, five hundred eleven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 1570 1727 3140 3454 6529 6908 8635 13058 17270 26116 32645 34540 65290 71819 130580 143638 287276 359095 718190 1025053 1436380 2050106 4100212 5125265 10250530 11275583 20501060 22551166 45102332 56377915 112755830 225511660