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2205124125 = 35331318787
BaseRepresentation
bin1000001101101111…
…1000011000011101
312200200022220121220
42003123320120131
514004002433000
61002451243553
7105434150211
oct20333703035
95620286556
102205124125
11a3180a436
125165a95b9
13291b06a99
1416cc12941
15cd8d01a0
hex836f861d

2205124125 has 32 divisors (see below), whose sum is σ = 3681245568. Its totient is φ = 1172246400.

The previous prime is 2205124123. The next prime is 2205124157. The reversal of 2205124125 is 5214215022.

2205124125 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2205124125 - 21 = 2205124123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2205124095 and 2205124104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205124123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107982 + ... + 126768.

It is an arithmetic number, because the mean of its divisors is an integer number (115038924).

Almost surely, 22205124125 is an apocalyptic number.

2205124125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2205124125 is a deficient number, since it is larger than the sum of its proper divisors (1476121443).

2205124125 is a wasteful number, since it uses less digits than its factorization.

2205124125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19118 (or 19108 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2205124125 is about 46958.7491847898. The cubic root of 2205124125 is about 1301.6004204444.

Adding to 2205124125 its reverse (5214215022), we get a palindrome (7419339147).

The spelling of 2205124125 in words is "two billion, two hundred five million, one hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 313 375 939 1565 4695 7825 18787 23475 39125 56361 93935 117375 281805 469675 1409025 2348375 5880331 7045125 17640993 29401655 88204965 147008275 441024825 735041375 2205124125