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2266128 = 243215737
BaseRepresentation
bin1000101001010000010000
311021010112200
420221100100
51040004003
6120323200
725155534
oct10512020
94233480
102266128
111308637
12913500
13614607
1442dbc4
152eb6a3
hex229410

2266128 has 30 divisors (see below), whose sum is σ = 6342414. Its totient is φ = 755328.

The previous prime is 2266109. The next prime is 2266129. The reversal of 2266128 is 8216622.

It can be written as a sum of positive squares in only one way, i.e., 2214144 + 51984 = 1488^2 + 228^2 .

It is a super-2 number, since 2×22661282 = 10270672224768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7725 + ... + 8012.

22266128 is an apocalyptic number.

It is an amenable number.

2266128 is an abundant number, since it is smaller than the sum of its proper divisors (4076286).

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

2266128 is a wasteful number, since it uses less digits than its factorization.

2266128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15751 (or 15742 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2266128 is about 1505.3664005816. The cubic root of 2266128 is about 131.3494158345.

The spelling of 2266128 in words is "two million, two hundred sixty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15737 31474 47211 62948 94422 125896 141633 188844 251792 283266 377688 566532 755376 1133064 2266128