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2263415 = 57115879
BaseRepresentation
bin1000101000100101110111
311020222211012
420220211313
51034412130
6120302435
725144610
oct10504567
94228735
102263415
1113065a0
12911a1b
136132cb
1442cc07
152ea995
hex228977

2263415 has 16 divisors (see below), whose sum is σ = 3386880. Its totient is φ = 1410720.

The previous prime is 2263411. The next prime is 2263423. The reversal of 2263415 is 5143622.

2263415 = 252 + 262 + ... + 1892.

2263415 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 2263415 - 22 = 2263411 is a prime.

It is a d-powerful number, because it can be written as 211 + 217 + 6 + 311 + 42 + 1 + 59 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263411) 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, 2555 + ... + 3324.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

22263415 is an apocalyptic number.

2263415 is a deficient number, since it is larger than the sum of its proper divisors (1123465).

2263415 is a wasteful number, since it uses less digits than its factorization.

2263415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902.

The product of its digits is 1440, while the sum is 23.

The square root of 2263415 is about 1504.4650211952. The cubic root of 2263415 is about 131.2969778923.

The spelling of 2263415 in words is "two million, two hundred sixty-three thousand, four hundred fifteen".

Divisors: 1 5 7 11 35 55 77 385 5879 29395 41153 64669 205765 323345 452683 2263415