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2264085 = 33531541
BaseRepresentation
bin1000101000110000010101
311021000202000
420220300111
51034422320
6120305513
725146555
oct10506025
94230660
102264085
11130704a
12912299
136136c5
1442d165
152eac90
hex228c15

2264085 has 32 divisors (see below), whose sum is σ = 4162560. Its totient is φ = 1166400.

The previous prime is 2264081. The next prime is 2264089. The reversal of 2264085 is 5804622.

It is an interprime number because it is at equal distance from previous prime (2264081) and next prime (2264089).

It is not a de Polignac number, because 2264085 - 22 = 2264081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

2264085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3915 + ... + 4455.

It is an arithmetic number, because the mean of its divisors is an integer number (130080).

22264085 is an apocalyptic number.

It is an amenable number.

2264085 is a deficient number, since it is larger than the sum of its proper divisors (1898475).

2264085 is a wasteful number, since it uses less digits than its factorization.

2264085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2264085 is about 1504.6876752336. The cubic root of 2264085 is about 131.3099318132.

The spelling of 2264085 in words is "two million, two hundred sixty-four thousand, eighty-five".

Divisors: 1 3 5 9 15 27 31 45 93 135 155 279 465 541 837 1395 1623 2705 4185 4869 8115 14607 16771 24345 50313 73035 83855 150939 251565 452817 754695 2264085