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220660 = 225111759
BaseRepresentation
bin110101110111110100
3102012200121
4311313310
524030120
64421324
71606216
oct656764
9365617
10220660
11140870
12a7844
137958b
145a5b6
15455aa
hex35df4

220660 has 48 divisors (see below), whose sum is σ = 544320. Its totient is φ = 74240.

The previous prime is 220613. The next prime is 220663. The reversal of 220660 is 66022.

220660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

220660 is a modest number, since divided by 660 gives 220 as remainder.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3711 + ... + 3769.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2220660 is an apocalyptic number.

220660 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 220660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

220660 is an abundant number, since it is smaller than the sum of its proper divisors (323660).

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

220660 is a wasteful number, since it uses less digits than its factorization.

220660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 220660 is about 469.7446114646. The cubic root of 220660 is about 60.4284152077.

Adding to 220660 its reverse (66022), we get a palindrome (286682).

The spelling of 220660 in words is "two hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 59 68 85 110 118 170 187 220 236 295 340 374 590 649 748 935 1003 1180 1298 1870 2006 2596 3245 3740 4012 5015 6490 10030 11033 12980 20060 22066 44132 55165 110330 220660