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2285136 = 243272267
BaseRepresentation
bin1000101101111001010000
311022002121200
420231321100
51041111021
6120551200
725265130
oct10557120
94262550
102285136
111320947
12922500
13620169
14436ac0
15302126
hex22de50

2285136 has 60 divisors (see below), whose sum is σ = 7312032. Its totient is φ = 652608.

The previous prime is 2285131. The next prime is 2285141. The reversal of 2285136 is 6315822.

It is an interprime number because it is at equal distance from previous prime (2285131) and next prime (2285141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126 + ... + 2141.

22285136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2285136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016).

2285136 is an abundant number, since it is smaller than the sum of its proper divisors (5026896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2285136 is a wasteful number, since it uses less digits than its factorization.

2285136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2279 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2285136 is about 1511.6666299155. Note that the first 4 decimals coincide. The cubic root of 2285136 is about 131.7156413087.

It can be divided in two parts, 22 and 85136, that added together give a palindrome (85158).

The spelling of 2285136 in words is "two million, two hundred eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2267 4534 6801 9068 13602 15869 18136 20403 27204 31738 36272 40806 47607 54408 63476 81612 95214 108816 126952 142821 163224 190428 253904 285642 326448 380856 571284 761712 1142568 2285136