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32220330423444 = 2232895009178429
BaseRepresentation
bin1110101001101111000010…
…10110010111010010010100
311020002020022020002210221200
413110313201112113102110
513210344214042022234
6152305452045512500
76533561552525652
oct724674126272224
9136066266083850
1032220330423444
11a2a26245a6089
123744623572730
1314c9496c8ab37
147d5688055dd2
153ad1d0eb4d99
hex1d4de1597494

32220330423444 has 18 divisors (see below), whose sum is σ = 81445835237130. Its totient is φ = 10740110141136.

The previous prime is 32220330423403. The next prime is 32220330423451. The reversal of 32220330423444 is 44432403302223.

32220330423444 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 0 + 3 + 304 + 2 + 344 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27676142899344 + 4544187524100 = 5260812^2 + 2131710^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×322203304234443 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 895009178429 = 32220330423444 / (3 + 2 + 2 + 2 + 0 + 3 + 3 + 0 + 4 + 2 + 3 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 32220330423399 and 32220330423408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 447504589179 + ... + 447504589250.

It is an arithmetic number, because the mean of its divisors is an integer number (4524768624285).

Almost surely, 232220330423444 is an apocalyptic number.

It is an amenable number.

32220330423444 is an abundant number, since it is smaller than the sum of its proper divisors (49225504813686).

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

32220330423444 is a wasteful number, since it uses less digits than its factorization.

32220330423444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895009178439 (or 895009178434 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 32220330423444 its reverse (44432403302223), we get a palindrome (76652733725667).

The spelling of 32220330423444 in words is "thirty-two trillion, two hundred twenty billion, three hundred thirty million, four hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 895009178429 1790018356858 2685027535287 3580036713716 5370055070574 8055082605861 10740110141148 16110165211722 32220330423444