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220340432 = 24138312763
BaseRepresentation
bin11010010001000…
…10000011010000
3120100121110020202
431020202003100
5422401343212
633510354332
75313601634
oct1510420320
9510543222
10220340432
11103416034
126195b9a8
1336859670
1421398dc4
15145260c2
hexd2220d0

220340432 has 40 divisors (see below), whose sum is σ = 465324384. Its totient is φ = 100462464.

The previous prime is 220340431. The next prime is 220340443. The reversal of 220340432 is 234043022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220340431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10883 + ... + 23645.

Almost surely, 2220340432 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 220340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232662192).

220340432 is an abundant number, since it is smaller than the sum of its proper divisors (244983952).

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

220340432 is a wasteful number, since it uses less digits than its factorization.

220340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12867 (or 12861 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 220340432 is about 14843.8684984744. The cubic root of 220340432 is about 603.9922955613.

Adding to 220340432 its reverse (234043022), we get a palindrome (454383454).

The spelling of 220340432 in words is "two hundred twenty million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 83 104 166 208 332 664 1079 1328 2158 4316 8632 12763 17264 25526 51052 102104 165919 204208 331838 663676 1059329 1327352 2118658 2654704 4237316 8474632 13771277 16949264 27542554 55085108 110170216 220340432