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2122306242 = 23753217989
BaseRepresentation
bin111111001111111…
…1101001011000010
312110220111022211220
41332133331023002
513321302244432
6550332215510
7103410206520
oct17637751302
95426438756
102122306242
11999a94101
124b290a596
1327a8cac14
14161c15310
15c64c172c
hex7e7fd2c2

2122306242 has 48 divisors (see below), whose sum is σ = 4944515520. Its totient is φ = 594899136.

The previous prime is 2122306229. The next prime is 2122306243. The reversal of 2122306242 is 2426032212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2122306243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108984 + ... + 126972.

It is an arithmetic number, because the mean of its divisors is an integer number (103010740).

Almost surely, 22122306242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122306242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472257760).

2122306242 is an abundant number, since it is smaller than the sum of its proper divisors (2822209278).

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

2122306242 is a wasteful number, since it uses less digits than its factorization.

2122306242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18107 (or 18054 counting only the distinct ones).

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

The square root of 2122306242 is about 46068.4951132550. The cubic root of 2122306242 is about 1285.0973177468.

Adding to 2122306242 its reverse (2426032212), we get a palindrome (4548338454).

The spelling of 2122306242 in words is "two billion, one hundred twenty-two million, three hundred six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 1113 2226 2809 5618 8427 16854 17989 19663 35978 39326 53967 58989 107934 117978 125923 251846 377769 755538 953417 1906834 2860251 5720502 6673919 13347838 20021757 40043514 50531101 101062202 151593303 303186606 353717707 707435414 1061153121 2122306242