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2164225 = 52783149
BaseRepresentation
bin1000010000011000000001
311001221202111
420100120001
51023223400
6114215321
724252460
oct10203001
94057674
102164225
111249018
12884541
135aa10b
144049d7
152cb3ba
hex210601

2164225 has 24 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 1456320.

The previous prime is 2164223. The next prime is 2164229. The reversal of 2164225 is 5224612.

It is not a de Polignac number, because 2164225 - 21 = 2164223 is a prime.

2164225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2164196 and 2164205.

It is not an unprimeable number, because it can be changed into a prime (2164223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14451 + ... + 14599.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

22164225 is an apocalyptic number.

2164225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2164225 is a deficient number, since it is larger than the sum of its proper divisors (960575).

2164225 is a wasteful number, since it uses less digits than its factorization.

2164225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 2164225 is about 1471.1305176632. The cubic root of 2164225 is about 129.3503087920.

Adding to 2164225 its reverse (5224612), we get a palindrome (7388837).

It can be divided in two parts, 21 and 64225, that added together give a palindrome (64246).

The spelling of 2164225 in words is "two million, one hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 83 149 175 415 581 745 1043 2075 2905 3725 5215 12367 14525 26075 61835 86569 309175 432845 2164225