Search a number
-
+
223443132 = 223113375023
BaseRepresentation
bin11010101000101…
…11100010111100
3120120110002100120
431110113202330
5424200140012
634101054540
75352143463
oct1524274274
9516402316
10223443132
11105145150
12629b7450
13373a4993
14219659da
151493a58c
hexd5178bc

223443132 has 48 divisors (see below), whose sum is σ = 570565632. Its totient is φ = 67495680.

The previous prime is 223443131. The next prime is 223443139. The reversal of 223443132 is 231344322.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223443131) 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, 41973 + ... + 46995.

It is an arithmetic number, because the mean of its divisors is an integer number (11886784).

Almost surely, 2223443132 is an apocalyptic number.

223443132 is a gapful number since it is divisible by the number (22) 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 223443132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285282816).

223443132 is an abundant number, since it is smaller than the sum of its proper divisors (347122500).

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

223443132 is a wasteful number, since it uses less digits than its factorization.

223443132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5376 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 223443132 is about 14948.0143162896. The cubic root of 223443132 is about 606.8141091268.

Adding to 223443132 its reverse (231344322), we get a palindrome (454787454).

The spelling of 223443132 in words is "two hundred twenty-three million, four hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 337 674 1011 1348 2022 3707 4044 5023 7414 10046 11121 14828 15069 20092 22242 30138 44484 55253 60276 110506 165759 221012 331518 663036 1692751 3385502 5078253 6771004 10156506 18620261 20313012 37240522 55860783 74481044 111721566 223443132