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1224444040 = 235173535101
BaseRepresentation
bin100100011111011…
…1000100010001000
310011100000012110021
41020332320202020
510001424202130
6321300030224
742225413461
oct11076704210
93140005407
101224444040
11579191a26
122a2092374
131668a2601
14b8893d68
157276837a
hex48fb8888

1224444040 has 64 divisors (see below), whose sum is σ = 2925894960. Its totient is φ = 459571200.

The previous prime is 1224444029. The next prime is 1224444041. The reversal of 1224444040 is 404444221.

It can be written as a sum of positive squares in 8 ways, for example, as 214856964 + 1009587076 = 14658^2 + 31774^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1224443996 and 1224444014.

It is not an unprimeable number, because it can be changed into a prime (1224444041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 237490 + ... + 242590.

Almost surely, 21224444040 is an apocalyptic number.

1224444040 is a gapful number since it is divisible by the number (10) 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 1224444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462947480).

1224444040 is an abundant number, since it is smaller than the sum of its proper divisors (1701450920).

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

1224444040 is a wasteful number, since it uses less digits than its factorization.

1224444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 1224444040 is about 34992.0568129397. The cubic root of 1224444040 is about 1069.8255866181.

Adding to 1224444040 its reverse (404444221), we get a palindrome (1628888261).

The spelling of 1224444040 in words is "one billion, two hundred twenty-four million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 353 680 706 1412 1765 2824 3530 5101 6001 7060 10202 12002 14120 20404 24004 25505 30005 40808 48008 51010 60010 86717 102020 120020 173434 204040 240040 346868 433585 693736 867170 1734340 1800653 3468680 3601306 7202612 9003265 14405224 18006530 30611101 36013060 61222202 72026120 122444404 153055505 244888808 306111010 612222020 1224444040