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32227988380900 = 2252132436692
BaseRepresentation
bin1110101001111101010011…
…10011001001110011100100
311020002222001220220100200121
413110332221303021303210
513211010410011142100
6152313200010251324
76534252411223354
oct724765163116344
9136088056810617
1032227988380900
11a2a58a4293944
123746000126b44
1314ca1176a2a00
147d5bb3124b64
153ad4cd44951a
hex1d4fa9cc9ce4

32227988380900 has 81 divisors (see below), whose sum is σ = 75729878948241. Its totient is φ = 11899292446080.

The previous prime is 32227988380849. The next prime is 32227988380909. The reversal of 32227988380900 is 908388972223.

The square root of 32227988380900 is 5676970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 31200781806756 + 1027206574144 = 5585766^2 + 1013512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32227988380909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 737984266 + ... + 738027934.

Almost surely, 232227988380900 is an apocalyptic number.

32227988380900 is the 5676970-th square number.

It is an amenable number.

32227988380900 is an abundant number, since it is smaller than the sum of its proper divisors (43501890567341).

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

32227988380900 is an frugal number, since it uses more digits than its factorization.

32227988380900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87378 (or 43689 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 32227988380900 in words is "thirty-two trillion, two hundred twenty-seven billion, nine hundred eighty-eight million, three hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 43669 87338 174676 218345 436690 567697 873380 1091725 1135394 2183450 2270788 2838485 4366900 5676970 7380061 11353940 14192425 14760122 28384850 29520244 36900305 56769700 73800610 147601220 184501525 369003050 738006100 1906981561 3813963122 7627926244 9534907805 19069815610 24790760293 38139631220 47674539025 49581520586 95349078050 99163041172 123953801465 190698156100 247907602930 322279883809 495815205860 619769007325 644559767618 1239538014650 1289119535236 1611399419045 2479076029300 3222798838090 6445597676180 8056997095225 16113994190450 32227988380900