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2213325 = 34521093
BaseRepresentation
bin1000011100010111001101
311011110010000
420130113031
51031311300
6115234513
724545562
oct10342715
94143100
102213325
1112819a4
128a8a39
135c657a
14418869
152dac00
hex21c5cd

2213325 has 30 divisors (see below), whose sum is σ = 4103594. Its totient is φ = 1179360.

The previous prime is 2213317. The next prime is 2213327. The reversal of 2213325 is 5233122.

2213325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 670761 + 1542564 = 819^2 + 1242^2 .

It is not a de Polignac number, because 2213325 - 23 = 2213317 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2213298 and 2213307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213327) 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 29 ways as a sum of consecutive naturals, for example, 1479 + ... + 2571.

22213325 is an apocalyptic number.

2213325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2213325 is a deficient number, since it is larger than the sum of its proper divisors (1890269).

2213325 is a wasteful number, since it uses less digits than its factorization.

2213325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1101 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 2213325 is about 1487.7247729335. The cubic root of 2213325 is about 130.3211978564.

Adding to 2213325 its reverse (5233122), we get a palindrome (7446447).

The spelling of 2213325 in words is "two million, two hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1093 2025 3279 5465 9837 16395 27325 29511 49185 81975 88533 147555 245925 442665 737775 2213325