Search a number
-
+
220424412 = 223132775101
BaseRepresentation
bin11010010001101…
…10100011011100
3120100202201110010
431020312203130
5422412040122
633512243220
75314401525
oct1510664334
9510681403
10220424412
1110347313a
12619a0510
1336888960
14213bb84c
1514540e0c
hexd2368dc

220424412 has 48 divisors (see below), whose sum is σ = 555995552. Its totient is φ = 67564800.

The previous prime is 220424401. The next prime is 220424417. The reversal of 220424412 is 214424022.

220424412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220424417) 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, 40662 + ... + 45762.

Almost surely, 2220424412 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 220424412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277997776).

220424412 is an abundant number, since it is smaller than the sum of its proper divisors (335571140).

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

220424412 is a wasteful number, since it uses less digits than its factorization.

220424412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5398 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 220424412 is about 14846.6970064052. The cubic root of 220424412 is about 604.0690205177.

Adding to 220424412 its reverse (214424022), we get a palindrome (434848434).

The spelling of 220424412 in words is "two hundred twenty million, four hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 277 554 831 1108 1662 3324 3601 5101 7202 10202 10803 14404 15303 20404 21606 30606 43212 61212 66313 132626 198939 265252 397878 795756 1412977 2825954 4238931 5651908 8477862 16955724 18368701 36737402 55106103 73474804 110212206 220424412