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2220400125 = 32531973689
BaseRepresentation
bin1000010001011000…
…1001110111111101
312201202002000100200
42010112021313331
514021410301000
61004154514113
7106011042516
oct20426116775
95652060320
102220400125
11a3a3a3529
1251b735939
13295024c38
14170c6ba0d
15cedeb500
hex84589dfd

2220400125 has 24 divisors (see below), whose sum is σ = 4002643320. Its totient is φ = 1184212800.

The previous prime is 2220400067. The next prime is 2220400177. The reversal of 2220400125 is 5210040222.

It can be written as a sum of positive squares in 4 ways, for example, as 20602521 + 2199797604 = 4539^2 + 46902^2 .

It is not a de Polignac number, because 2220400125 - 27 = 2220399997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2220400098 and 2220400107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 985720 + ... + 987969.

It is an arithmetic number, because the mean of its divisors is an integer number (166776805).

Almost surely, 22220400125 is an apocalyptic number.

2220400125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2220400125 is a deficient number, since it is larger than the sum of its proper divisors (1782243195).

2220400125 is a wasteful number, since it uses less digits than its factorization.

2220400125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973710 (or 1973697 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2220400125 is about 47121.1218563395. The cubic root of 2220400125 is about 1304.5991193911.

Adding to 2220400125 its reverse (5210040222), we get a palindrome (7430440347).

The spelling of 2220400125 in words is "two billion, two hundred twenty million, four hundred thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 1973689 5921067 9868445 17763201 29605335 49342225 88816005 148026675 246711125 444080025 740133375 2220400125