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2242004125 = 53115115583
BaseRepresentation
bin1000010110100010…
…0100010010011101
312210020201121110211
42011220210102131
514042423113000
61010245532421
7106362502114
oct20550442235
95706647424
102242004125
11a50609979
12526a14111
1329964a47a
14173a92c7b
15d1c677ba
hex85a2449d

2242004125 has 16 divisors (see below), whose sum is σ = 2800631808. Its totient is φ = 1791930000.

The previous prime is 2242004111. The next prime is 2242004131. The reversal of 2242004125 is 5214002422.

It is not a de Polignac number, because 2242004125 - 213 = 2241995933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2242004096 and 2242004105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136084 + ... + 151666.

It is an arithmetic number, because the mean of its divisors is an integer number (175039488).

Almost surely, 22242004125 is an apocalyptic number.

2242004125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2242004125 is a deficient number, since it is larger than the sum of its proper divisors (558627683).

2242004125 is a wasteful number, since it uses less digits than its factorization.

2242004125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16749 (or 16739 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2242004125 is about 47349.8059658115. The cubic root of 2242004125 is about 1308.8166235776.

Adding to 2242004125 its reverse (5214002422), we get a palindrome (7456006547).

The spelling of 2242004125 in words is "two billion, two hundred forty-two million, four thousand, one hundred twenty-five".

Divisors: 1 5 25 125 1151 5755 15583 28775 77915 143875 389575 1947875 17936033 89680165 448400825 2242004125