Search a number
-
+
220540544 = 277475237
BaseRepresentation
bin11010010010100…
…10111010000000
3120100222121202022
431021102322000
5422424244134
633514541012
75315364230
oct1511227200
9510877668
10220540544
11103542414
1261a37768
13368c9783
142140bcc0
151456552e
hexd252e80

220540544 has 64 divisors (see below), whose sum is σ = 512904960. Its totient is φ = 92488704.

The previous prime is 220540531. The next prime is 220540547. The reversal of 220540544 is 445045022.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (220540547) by changing a digit.

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, 39494 + ... + 44730.

It is an arithmetic number, because the mean of its divisors is an integer number (8014140).

Almost surely, 2220540544 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 220540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256452480).

220540544 is an abundant number, since it is smaller than the sum of its proper divisors (292364416).

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

220540544 is an equidigital number, since it uses as much as digits as its factorization.

220540544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 220540544 is about 14850.6075296602. The cubic root of 220540544 is about 604.1750877579.

Adding to 220540544 its reverse (445045022), we get a palindrome (665585566).

The spelling of 220540544 in words is "two hundred twenty million, five hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 329 376 448 658 752 896 1316 1504 2632 3008 5237 5264 6016 10474 10528 20948 21056 36659 41896 42112 73318 83792 146636 167584 246139 293272 335168 492278 586544 670336 984556 1173088 1722973 1969112 2346176 3445946 3938224 4692352 6891892 7876448 13783784 15752896 27567568 31505792 55135136 110270272 220540544