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2251125 = 33532329
BaseRepresentation
bin1000100101100101110101
311020100222000
420211211311
51034014000
6120125513
725064022
oct10454565
94210860
102251125
1112a8338
12906899
1360a836
14428549
152e7000
hex225975

2251125 has 64 divisors (see below), whose sum is σ = 4492800. Its totient is φ = 1108800.

The previous prime is 2251121. The next prime is 2251129. The reversal of 2251125 is 5211522.

2251125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2251121) and next prime (2251129).

It is not a de Polignac number, because 2251125 - 22 = 2251121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2251098 and 2251107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251121) 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 63 ways as a sum of consecutive naturals, for example, 77611 + ... + 77639.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

22251125 is an apocalyptic number.

2251125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2251125 is a deficient number, since it is larger than the sum of its proper divisors (2241675).

2251125 is a wasteful number, since it uses less digits than its factorization.

2251125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 2251125 is about 1500.3749531367. The cubic root of 2251125 is about 131.0589055832.

Adding to 2251125 its reverse (5211522), we get a palindrome (7462647).

The spelling of 2251125 in words is "two million, two hundred fifty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 29 45 69 75 87 115 125 135 145 207 225 261 345 375 435 575 621 667 675 725 783 1035 1125 1305 1725 2001 2175 2875 3105 3335 3375 3625 3915 5175 6003 6525 8625 10005 10875 15525 16675 18009 19575 25875 30015 32625 50025 77625 83375 90045 97875 150075 250125 450225 750375 2251125