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33424202420 = 2257234106329
BaseRepresentation
bin11111001000001111…
…001101101010110100
310012021101112102000222
4133020033031222310
51021423043434140
623204352353512
72262166014200
oct371017155264
9105241472028
1033424202420
11131a20aaa94
126589845898
1331c891308b
141891115b00
15d095625b5
hex7c83cdab4

33424202420 has 36 divisors (see below), whose sum is σ = 81650554020. Its totient is φ = 11459726208.

The previous prime is 33424202269. The next prime is 33424202423. The reversal of 33424202420 is 2420242433.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26615312164 + 6808890256 = 163142^2 + 82516^2 .

It is a super-2 number, since 2×334242024202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33424202420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33424202423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17052185 + ... + 17054144.

It is an arithmetic number, because the mean of its divisors is an integer number (2268070945).

Almost surely, 233424202420 is an apocalyptic number.

It is an amenable number.

33424202420 is an abundant number, since it is smaller than the sum of its proper divisors (48226351600).

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

33424202420 is a wasteful number, since it uses less digits than its factorization.

33424202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34106352 (or 34106343 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 33424202420 its reverse (2420242433), we get a palindrome (35844444853).

The spelling of 33424202420 in words is "thirty-three billion, four hundred twenty-four million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 34106329 68212658 136425316 170531645 238744303 341063290 477488606 682126580 954977212 1193721515 1671210121 2387443030 3342420242 4774886060 6684840484 8356050605 16712101210 33424202420