Search a number
-
+
2424443130 = 2335193753241
BaseRepresentation
bin1001000010000010…
…0001000011111010
320020222000110202000
42100200201003322
514431124140010
61040324121430
7114036266214
oct22040410372
96228013660
102424443130
11103459800a
12577b36276
132c8396545
1418ddc35b4
15e2ca37c0
hex908210fa

2424443130 has 256 divisors, whose sum is σ = 7150809600. Its totient is φ = 582266880.

The previous prime is 2424443113. The next prime is 2424443213. The reversal of 2424443130 is 313444242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2424443094 and 2424443103.

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 127 ways as a sum of consecutive naturals, for example, 10059810 + ... + 10060050.

It is an arithmetic number, because the mean of its divisors is an integer number (27932850).

Almost surely, 22424443130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424443130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575404800).

2424443130 is an abundant number, since it is smaller than the sum of its proper divisors (4726366470).

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

2424443130 is a wasteful number, since it uses less digits than its factorization.

2424443130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2424443130 is about 49238.6345261523. The cubic root of 2424443130 is about 1343.3958441329.

Adding to 2424443130 its reverse (313444242), we get a palindrome (2737887372).

The spelling of 2424443130 in words is "two billion, four hundred twenty-four million, four hundred forty-three thousand, one hundred thirty".