Search a number
-
+
2410220142 = 2321119796151
BaseRepresentation
bin1000111110101001…
…0000101001101110
320012222020212110200
42033222100221232
514414004021032
61035055214330
7113504350611
oct21752205156
96188225420
102410220142
111027563080
125732173a6
132c5456785
1418c160178
15e18e447c
hex8fa90a6e

2410220142 has 48 divisors (see below), whose sum is σ = 5700689280. Its totient is φ = 729882000.

The previous prime is 2410220119. The next prime is 2410220159.

2410220142 is nontrivially palindromic in base 10.

2410220142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24102201422 = 11618322265805000328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388767 + ... + 394917.

It is an arithmetic number, because the mean of its divisors is an integer number (118764360).

Almost surely, 22410220142 is an apocalyptic number.

2410220142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2410220142 is an abundant number, since it is smaller than the sum of its proper divisors (3290469138).

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

2410220142 is a wasteful number, since it uses less digits than its factorization.

2410220142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8149 (or 8146 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2410220142 is about 49093.9929319260. The cubic root of 2410220142 is about 1340.7636810454.

It can be divided in two parts, 24102 and 20142, that added together give a palindrome (44244).

The spelling of 2410220142 in words is "two billion, four hundred ten million, two hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1979 3958 5937 6151 11874 12302 17811 18453 21769 35622 36906 43538 55359 65307 67661 110718 130614 135322 195921 202983 391842 405966 608949 1217898 12172829 24345658 36518487 73036974 109555461 133901119 219110922 267802238 401703357 803406714 1205110071 2410220142