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2248135 = 523113173
BaseRepresentation
bin1000100100110111000111
311020012212021
420210313013
51033420020
6120104011
725052221
oct10446707
94205767
102248135
1112a606a
12905007
13609376
14427411
152e61aa
hex224dc7

2248135 has 16 divisors (see below), whose sum is σ = 2856384. Its totient is φ = 1695232.

The previous prime is 2248133. The next prime is 2248139. The reversal of 2248135 is 5318422.

2248135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2248135 - 21 = 2248133 is a prime.

It is a super-2 number, since 2×22481352 = 10108221956450, which contains 22 as substring.

It is a d-powerful number, because it can be written as 23 + 215 + 49 + 8 + 1 + 34 + 59 .

It is a Duffinian number.

2248135 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248133) 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 15 ways as a sum of consecutive naturals, for example, 12909 + ... + 13081.

It is an arithmetic number, because the mean of its divisors is an integer number (178524).

22248135 is an apocalyptic number.

2248135 is a deficient number, since it is larger than the sum of its proper divisors (608249).

2248135 is a wasteful number, since it uses less digits than its factorization.

2248135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314.

The product of its digits is 1920, while the sum is 25.

The square root of 2248135 is about 1499.3782044568. The cubic root of 2248135 is about 131.0008546455. Note that the first 3 decimals are identical.

The spelling of 2248135 in words is "two million, two hundred forty-eight thousand, one hundred thirty-five".

Divisors: 1 5 23 113 115 173 565 865 2599 3979 12995 19549 19895 97745 449627 2248135