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1440224020 = 225174235953
BaseRepresentation
bin101010111011000…
…0001001100010100
310201101000221221101
41111312001030110
510422144132040
6354524555444
750455462564
oct12566011424
93641027841
101440224020
11679a72694
123423b2b84
1319c4c3281
14d93c2da4
158668d09a
hex55d81314

1440224020 has 24 divisors (see below), whose sum is σ = 3202381224. Its totient is φ = 542201856.

The previous prime is 1440223999. The next prime is 1440224021. The reversal of 1440224020 is 204220441.

It can be written as a sum of positive squares in 4 ways, for example, as 601426576 + 838797444 = 24524^2 + 28962^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440224021) 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 7 ways as a sum of consecutive naturals, for example, 2117637 + ... + 2118316.

It is an arithmetic number, because the mean of its divisors is an integer number (133432551).

Almost surely, 21440224020 is an apocalyptic number.

1440224020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1440224020 is an abundant number, since it is smaller than the sum of its proper divisors (1762157204).

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

1440224020 is a wasteful number, since it uses less digits than its factorization.

1440224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235979 (or 4235977 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 1440224020 is about 37950.2835299026. The cubic root of 1440224020 is about 1129.3017902017.

Adding to 1440224020 its reverse (204220441), we get a palindrome (1644444461).

The spelling of 1440224020 in words is "one billion, four hundred forty million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 4235953 8471906 16943812 21179765 42359530 72011201 84719060 144022402 288044804 360056005 720112010 1440224020