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220464132 = 22372374939
BaseRepresentation
bin11010010010000…
…00010000000100
3120100211201221020
431021000100010
5422414323012
633513151140
75314625400
oct1511002004
9510751836
10220464132
1110349aa69
12619bb4b0
13368a0a65
14213cc100
151454ca8c
hexd240404

220464132 has 36 divisors (see below), whose sum is σ = 598404240. Its totient is φ = 62989584.

The previous prime is 220464121. The next prime is 220464133. The reversal of 220464132 is 231464022.

220464132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220464133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186882 + ... + 188057.

It is an arithmetic number, because the mean of its divisors is an integer number (16622340).

Almost surely, 2220464132 is an apocalyptic number.

It is an amenable number.

220464132 is an abundant number, since it is smaller than the sum of its proper divisors (377940108).

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

220464132 is a wasteful number, since it uses less digits than its factorization.

220464132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374960 (or 374951 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 220464132 is about 14848.0346174165. The cubic root of 220464132 is about 604.1053023134.

The spelling of 220464132 in words is "two hundred twenty million, four hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 374939 749878 1124817 1499756 2249634 2624573 4499268 5249146 7873719 10498292 15747438 18372011 31494876 36744022 55116033 73488044 110232066 220464132