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220531660 = 22529794813
BaseRepresentation
bin11010010010100…
…00101111001100
3120100222011120021
431021100233030
5422424003120
633514431524
75315326306
oct1511205714
9510864507
10220531660
11103536778
1261a325a4
13368c570b
1421408976
1514562aaa
hexd250bcc

220531660 has 48 divisors (see below), whose sum is σ = 485251200. Its totient is φ = 84075264.

The previous prime is 220531657. The next prime is 220531691. The reversal of 220531660 is 66135022.

220531660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 43414 + ... + 48226.

It is an arithmetic number, because the mean of its divisors is an integer number (10109400).

Almost surely, 2220531660 is an apocalyptic number.

220531660 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 220531660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242625600).

220531660 is an abundant number, since it is smaller than the sum of its proper divisors (264719540).

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

220531660 is a wasteful number, since it uses less digits than its factorization.

220531660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 220531660 is about 14850.3084143057. The cubic root of 220531660 is about 604.1669750190.

Adding to 220531660 its reverse (66135022), we get a palindrome (286666682).

The spelling of 220531660 in words is "two hundred twenty million, five hundred thirty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 79 116 145 158 290 316 395 580 790 1580 2291 4582 4813 9164 9626 11455 19252 22910 24065 45820 48130 96260 139577 279154 380227 558308 697885 760454 1395770 1520908 1901135 2791540 3802270 7604540 11026583 22053166 44106332 55132915 110265830 220531660