Search a number
-
+
220112312 = 23724871153
BaseRepresentation
bin11010001111010…
…10010110111000
3120100011212022212
431013222112320
5422322043222
633501434252
75311631600
oct1507522670
9510155285
10220112312
1110327a702
126186b988
13367a9894
1421339c00
15144cd6e2
hexd1ea5b8

220112312 has 48 divisors (see below), whose sum is σ = 481494960. Its totient is φ = 94058496.

The previous prime is 220112309. The next prime is 220112317. The reversal of 220112312 is 213211022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220112317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190328 + ... + 191480.

It is an arithmetic number, because the mean of its divisors is an integer number (10031145).

Almost surely, 2220112312 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 220112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240747480).

220112312 is an abundant number, since it is smaller than the sum of its proper divisors (261382648).

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

220112312 is a wasteful number, since it uses less digits than its factorization.

220112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 220112312 is about 14836.1825278607. The cubic root of 220112312 is about 603.7837844289.

Adding to 220112312 its reverse (213211022), we get a palindrome (433323334).

The spelling of 220112312 in words is "two hundred twenty million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 487 974 1153 1948 2306 3409 3896 4612 6818 8071 9224 13636 16142 23863 27272 32284 47726 56497 64568 95452 112994 190904 225988 451976 561511 1123022 2246044 3930577 4492088 7861154 15722308 27514039 31444616 55028078 110056156 220112312