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220244424 = 233371971259
BaseRepresentation
bin11010010000010…
…10100111001000
3120100102120112220
431020022213020
5422340310144
633504334040
75313022011
oct1510124710
9510376486
10220244424
1110335a994
1261914320
1336824a5a
1421372008
1514507919
hexd20a9c8

220244424 has 64 divisors (see below), whose sum is σ = 568814400. Its totient is φ = 71011584.

The previous prime is 220244393. The next prime is 220244441. The reversal of 220244424 is 424442022.

220244424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 220244394 and 220244403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174307 + ... + 175565.

It is an arithmetic number, because the mean of its divisors is an integer number (8887725).

Almost surely, 2220244424 is an apocalyptic number.

220244424 is a gapful number since it is divisible by the number (24) 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 220244424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284407200).

220244424 is an abundant number, since it is smaller than the sum of its proper divisors (348569976).

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

220244424 is a wasteful number, since it uses less digits than its factorization.

220244424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 220244424 is about 14840.6342182536. The cubic root of 220244424 is about 603.9045578182.

Adding to 220244424 its reverse (424442022), we get a palindrome (644686446).

The spelling of 220244424 in words is "two hundred twenty million, two hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 197 222 296 394 444 591 788 888 1182 1259 1576 2364 2518 3777 4728 5036 7289 7554 10072 14578 15108 21867 29156 30216 43734 46583 58312 87468 93166 139749 174936 186332 248023 279498 372664 496046 558996 744069 992092 1117992 1488138 1984184 2976276 5952552 9176851 18353702 27530553 36707404 55061106 73414808 110122212 220244424