Search a number
-
+
2249205 = 35731691
BaseRepresentation
bin1000100101000111110101
311020021022220
420211013311
51033433310
6120112553
725055310
oct10450765
94207286
102249205
1112a6952
12905759
136099ba
14427977
152e6670
hex2251f5

2249205 has 32 divisors (see below), whose sum is σ = 4251648. Its totient is φ = 993600.

The previous prime is 2249197. The next prime is 2249207. The reversal of 2249205 is 5029422.

2249205 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 2249205 - 23 = 2249197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249207) 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 31 ways as a sum of consecutive naturals, for example, 2910 + ... + 3600.

It is an arithmetic number, because the mean of its divisors is an integer number (132864).

22249205 is an apocalyptic number.

It is an amenable number.

2249205 is a deficient number, since it is larger than the sum of its proper divisors (2002443).

2249205 is a wasteful number, since it uses less digits than its factorization.

2249205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2249205 is about 1499.7349765875. The cubic root of 2249205 is about 131.0216346375.

The spelling of 2249205 in words is "two million, two hundred forty-nine thousand, two hundred five".

Divisors: 1 3 5 7 15 21 31 35 93 105 155 217 465 651 691 1085 2073 3255 3455 4837 10365 14511 21421 24185 64263 72555 107105 149947 321315 449841 749735 2249205