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1441224 = 233237541
BaseRepresentation
bin101011111110111001000
32201012222200
411133313020
5332104344
650520200
715151551
oct5376710
92635880
101441224
118a48a4
12596060
133b5cc5
14297328
151d7069
hex15fdc8

1441224 has 48 divisors (see below), whose sum is σ = 4016220. Its totient is φ = 466560.

The previous prime is 1441217. The next prime is 1441241. The reversal of 1441224 is 4221441.

1441224 is a `hidden beast` number, since 1 + 441 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1397124 + 44100 = 1182^2 + 210^2 .

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 = 1441197 and 1441206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2394 + ... + 2934.

21441224 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 1441224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008110).

1441224 is an abundant number, since it is smaller than the sum of its proper divisors (2574996).

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

1441224 is a wasteful number, since it uses less digits than its factorization.

1441224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 583 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 1441224 is about 1200.5098916710. The cubic root of 1441224 is about 112.9563096297.

Adding to 1441224 its reverse (4221441), we get a palindrome (5662665).

The spelling of 1441224 in words is "one million, four hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 541 666 888 1082 1332 1623 2164 2664 3246 4328 4869 6492 9738 12984 19476 20017 38952 40034 60051 80068 120102 160136 180153 240204 360306 480408 720612 1441224