Search a number
-
+
1224144 = 24328501
BaseRepresentation
bin100101010110111010000
32022012012200
410222313100
5303133034
642123200
713255635
oct4526720
92265180
101224144
11766799
124b0500
1333b25c
1423c18c
15192a99
hex12add0

1224144 has 30 divisors (see below), whose sum is σ = 3426306. Its totient is φ = 408000.

The previous prime is 1224133. The next prime is 1224149. The reversal of 1224144 is 4414221.

It can be written as a sum of positive squares in only one way, i.e., 788544 + 435600 = 888^2 + 660^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224149) 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, 4107 + ... + 4394.

21224144 is an apocalyptic number.

It is an amenable number.

1224144 is an abundant number, since it is smaller than the sum of its proper divisors (2202162).

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

1224144 is a wasteful number, since it uses less digits than its factorization.

1224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8515 (or 8506 counting only the distinct ones).

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

The square root of 1224144 is about 1106.4104120985. The cubic root of 1224144 is about 106.9738195475.

Adding to 1224144 its reverse (4414221), we get a palindrome (5638365).

The spelling of 1224144 in words is "one million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8501 17002 25503 34004 51006 68008 76509 102012 136016 153018 204024 306036 408048 612072 1224144