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2205525 = 35274201
BaseRepresentation
bin1000011010011101010101
311011001102010
420122131111
51031034100
6115134433
724514050
oct10323525
94131363
102205525
111277053
128a4419
135c2b5a
14415a97
152d8750
hex21a755

2205525 has 24 divisors (see below), whose sum is σ = 4168384. Its totient is φ = 1008000.

The previous prime is 2205521. The next prime is 2205527. The reversal of 2205525 is 5255022.

2205525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2205525 - 22 = 2205521 is a prime.

It is a super-3 number, since 3×22055253 = 32185273913337234375, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205521) 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 23 ways as a sum of consecutive naturals, for example, 1576 + ... + 2625.

22205525 is an apocalyptic number.

2205525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2205525 is a deficient number, since it is larger than the sum of its proper divisors (1962859).

2205525 is a wasteful number, since it uses less digits than its factorization.

2205525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 2205525 is about 1485.1010066659. The cubic root of 2205525 is about 130.1679289391.

It can be divided in two parts, 2205 and 525, that multiplied together give a cube (1157625 = 1053).

The spelling of 2205525 in words is "two million, two hundred five thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 4201 12603 21005 29407 63015 88221 105025 147035 315075 441105 735175 2205525