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143224020 = 223255315013
BaseRepresentation
bin10001000100101…
…10110011010100
3100222111112102100
420202112303110
5243131132040
622113442100
73356245512
oct1042266324
9328445370
10143224020
1173934365
123bb70330
1323898954
14150434b2
15c891b30
hex8896cd4

143224020 has 72 divisors (see below), whose sum is σ = 442672776. Its totient is φ = 37469952.

The previous prime is 143224009. The next prime is 143224021. The reversal of 143224020 is 20422341.

It can be written as a sum of positive squares in 4 ways, for example, as 39917124 + 103306896 = 6318^2 + 10164^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 143223984 and 143224002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143224021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2034 + ... + 17046.

It is an arithmetic number, because the mean of its divisors is an integer number (6148233).

Almost surely, 2143224020 is an apocalyptic number.

143224020 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 143224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221336388).

143224020 is an abundant number, since it is smaller than the sum of its proper divisors (299448756).

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

143224020 is a wasteful number, since it uses less digits than its factorization.

143224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15081 (or 15076 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 143224020 is about 11967.6238243020. The cubic root of 143224020 is about 523.2050812429.

Adding to 143224020 its reverse (20422341), we get a palindrome (163646361).

It can be divided in two parts, 1432 and 24020, that added together give a palindrome (25452).

The spelling of 143224020 in words is "one hundred forty-three million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 15013 30026 45039 60052 75065 90078 135117 150130 180156 225195 270234 300260 450390 540468 675585 795689 900780 1351170 1591378 2387067 2702340 3182756 3978445 4774134 7161201 7956890 9548268 11935335 14322402 15913780 23870670 28644804 35806005 47741340 71612010 143224020