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2434224220 = 2251713752259
BaseRepresentation
bin1001000100010111…
…0101000001011100
320021122102101212121
42101011311001130
514441130133340
61041313512324
7114215364421
oct22105650134
96248371777
102434224220
11103a06875a
1257b2726a4
132ca40c57c
1419140bd48
15e3a8694a
hex9117505c

2434224220 has 48 divisors (see below), whose sum is σ = 5452181280. Its totient is φ = 909707264.

The previous prime is 2434224193. The next prime is 2434224223. The reversal of 2434224220 is 224224342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434224223) 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 15 ways as a sum of consecutive naturals, for example, 20451 + ... + 72709.

It is an arithmetic number, because the mean of its divisors is an integer number (113587110).

Almost surely, 22434224220 is an apocalyptic number.

2434224220 is a gapful number since it is divisible by the number (20) 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 2434224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726090640).

2434224220 is an abundant number, since it is smaller than the sum of its proper divisors (3017957060).

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

2434224220 is a wasteful number, since it uses less digits than its factorization.

2434224220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52422 (or 52420 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 2434224220 is about 49337.8578781041. The cubic root of 2434224220 is about 1345.2000034248.

Adding to 2434224220 its reverse (224224342), we get a palindrome (2658448562).

The spelling of 2434224220 in words is "two billion, four hundred thirty-four million, two hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 137 170 274 340 548 685 1370 2329 2740 4658 9316 11645 23290 46580 52259 104518 209036 261295 522590 888403 1045180 1776806 3553612 4442015 7159483 8884030 14318966 17768060 28637932 35797415 71594830 121711211 143189660 243422422 486844844 608556055 1217112110 2434224220