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2161224 = 2332132309
BaseRepresentation
bin1000001111101001001000
311001210122100
420033221020
51023124344
6114153400
724240642
oct10175110
94053570
102161224
11124683a
12882860
135a8940
14403892
152ca569
hex20fa48

2161224 has 48 divisors (see below), whose sum is σ = 6306300. Its totient is φ = 664704.

The previous prime is 2161213. The next prime is 2161253. The reversal of 2161224 is 4221612.

It can be written as a sum of positive squares in 2 ways, for example, as 2160900 + 324 = 1470^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 2161197 and 2161206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219 + ... + 2090.

22161224 is an apocalyptic number.

2161224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2161224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153150).

2161224 is an abundant number, since it is smaller than the sum of its proper divisors (4145076).

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

2161224 is a wasteful number, since it uses less digits than its factorization.

2161224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2327 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2161224 is about 1470.1101999510. The cubic root of 2161224 is about 129.2904937178.

Adding to 2161224 its reverse (4221612), we get a palindrome (6382836).

The spelling of 2161224 in words is "two million, one hundred sixty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2309 4618 6927 9236 13854 18472 20781 27708 30017 41562 55416 60034 83124 90051 120068 166248 180102 240136 270153 360204 540306 720408 1080612 2161224