Search a number
-
+
220055232 = 2631676863
BaseRepresentation
bin11010001110111…
…00011011000000
3120100001222000210
431013130123000
5422313231412
633500314120
75311303305
oct1507343300
9510058023
10220055232
11103240831
1261842940
13367898c7
14213230ac
15144bb83c
hexd1dc6c0

220055232 has 56 divisors (see below), whose sum is σ = 585801216. Its totient is φ = 72901888.

The previous prime is 220055221. The next prime is 220055233. The reversal of 220055232 is 232550022.

It is a junction number, because it is equal to n+sod(n) for n = 220055199 and 220055208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220055233) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28633 + ... + 35495.

It is an arithmetic number, because the mean of its divisors is an integer number (10460736).

Almost surely, 2220055232 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 220055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292900608).

220055232 is an abundant number, since it is smaller than the sum of its proper divisors (365745984).

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

220055232 is a wasteful number, since it uses less digits than its factorization.

220055232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 220055232 is about 14834.2587276884. The cubic root of 220055232 is about 603.7315884119.

The spelling of 220055232 in words is "two hundred twenty million, fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 501 668 1002 1336 2004 2672 4008 5344 6863 8016 10688 13726 16032 20589 27452 32064 41178 54904 82356 109808 164712 219616 329424 439232 658848 1146121 1317696 2292242 3438363 4584484 6876726 9168968 13753452 18337936 27506904 36675872 55013808 73351744 110027616 220055232