Search a number
-
+
2422345300 = 2252175924151
BaseRepresentation
bin1001000001100010…
…0000111001010100
320020211001220001121
42100120200321110
514430110022200
61040211133324
7114012411124
oct22030407124
96224056047
102422345300
111033394971
125772a4244
132c7b1071b
1418d9d8c84
15e29dbe1a
hex90620e54

2422345300 has 72 divisors (see below), whose sum is σ = 5660262720. Its totient is φ = 896448000.

The previous prime is 2422345297. The next prime is 2422345309. The reversal of 2422345300 is 35432242.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422345309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 88225 + ... + 112375.

It is an arithmetic number, because the mean of its divisors is an integer number (78614760).

Almost surely, 22422345300 is an apocalyptic number.

2422345300 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 2422345300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830131360).

2422345300 is an abundant number, since it is smaller than the sum of its proper divisors (3237917420).

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

2422345300 is a wasteful number, since it uses less digits than its factorization.

2422345300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24241 (or 24234 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 2422345300 is about 49217.3272334043. The cubic root of 2422345300 is about 1343.0082596864.

Adding to 2422345300 its reverse (35432242), we get a palindrome (2457777542).

The spelling of 2422345300 in words is "two billion, four hundred twenty-two million, three hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 59 68 85 100 118 170 236 295 340 425 590 850 1003 1180 1475 1700 2006 2950 4012 5015 5900 10030 20060 24151 25075 48302 50150 96604 100300 120755 241510 410567 483020 603775 821134 1207550 1424909 1642268 2052835 2415100 2849818 4105670 5699636 7124545 8211340 10264175 14249090 20528350 24223453 28498180 35622725 41056700 48446906 71245450 96893812 121117265 142490900 242234530 484469060 605586325 1211172650 2422345300