Search a number
-
+
2242004020 = 225112100201
BaseRepresentation
bin1000010110100010…
…0100010000110100
312210020201121022221
42011220210100310
514042423112040
61010245532124
7106362501604
oct20550442064
95706647287
102242004020
11a50609893
12526a14044
1329964a3c9
14173a92c04
15d1c6774a
hex85a24434

2242004020 has 12 divisors (see below), whose sum is σ = 4708208484. Its totient is φ = 896801600.

The previous prime is 2242003999. The next prime is 2242004021. The reversal of 2242004020 is 204002422.

It can be written as a sum of positive squares in 2 ways, for example, as 1131515044 + 1110488976 = 33638^2 + 33324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2242003985 and 2242004003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242004021) 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 3 ways as a sum of consecutive naturals, for example, 56050081 + ... + 56050120.

It is an arithmetic number, because the mean of its divisors is an integer number (392350707).

Almost surely, 22242004020 is an apocalyptic number.

2242004020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242004020 is an abundant number, since it is smaller than the sum of its proper divisors (2466204464).

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

2242004020 is a wasteful number, since it uses less digits than its factorization.

2242004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112100210 (or 112100208 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2242004020 is about 47349.8048570424. The cubic root of 2242004020 is about 1308.8166031457.

Adding to 2242004020 its reverse (204002422), we get a palindrome (2446006442).

The spelling of 2242004020 in words is "two billion, two hundred forty-two million, four thousand, twenty".

Divisors: 1 2 4 5 10 20 112100201 224200402 448400804 560501005 1121002010 2242004020