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2059225 = 5272412
BaseRepresentation
bin111110110101111011001
310212121201121
413312233121
51011343400
6112045241
723334400
oct7665731
93777647
102059225
111187143
12833821
1357139c
143b8637
152aa21a
hex1f6bd9

2059225 has 27 divisors (see below), whose sum is σ = 3044541. Its totient is φ = 1377600.

The previous prime is 2059223. The next prime is 2059231. The reversal of 2059225 is 5229502.

The square root of 2059225 is 1435.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 866761 + 1192464 = 931^2 + 1092^2 .

It is not a de Polignac number, because 2059225 - 21 = 2059223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2059225.

It is not an unprimeable number, because it can be changed into a prime (2059223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50205 + ... + 50245.

22059225 is an apocalyptic number.

2059225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2059225 is the 1435-th square number.

2059225 is the 718-th centered octagonal number.

It is an amenable number.

2059225 is a deficient number, since it is larger than the sum of its proper divisors (985316).

2059225 is an equidigital number, since it uses as much as digits as its factorization.

2059225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The cubic root of 2059225 is about 127.2236742784.

Multiplying 2059225 by its sum of digits (25), we get a square (51480625 = 71752).

2059225 divided by its sum of digits (25) gives a square (82369 = 2872).

The spelling of 2059225 in words is "two million, fifty-nine thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 41 49 175 205 245 287 1025 1225 1435 1681 2009 7175 8405 10045 11767 42025 50225 58835 82369 294175 411845 2059225