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222022130424320 = 295221573914221
BaseRepresentation
bin110010011110110110001110…
…001101110101101000000000
31002010010002221000020110012102
4302132312032031311220000
5213100102310342034240
62104111320400245532
764523366236342142
oct6236661615655000
91063102830213172
10222022130424320
116481a069579546
1220a994623108a8
1396b679b9928c5
143cb7cdd942c92
151aa0489be5815
hexc9ed8e375a00

222022130424320 has 80 divisors (see below), whose sum is σ = 532356910144488. Its totient is φ = 88804821319680.

The previous prime is 222022130424301. The next prime is 222022130424337. The reversal of 222022130424320 is 23424031220222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 176048740208896 + 45973390215424 = 13268336^2 + 6780368^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 54764810 + ... + 58679030.

Almost surely, 2222022130424320 is an apocalyptic number.

222022130424320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222022130424320 is an abundant number, since it is smaller than the sum of its proper divisors (310334779720168).

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

222022130424320 is an equidigital number, since it uses as much as digits as its factorization.

222022130424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936401 (or 3936385 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 222022130424320 its reverse (23424031220222), we get a palindrome (245446161644542).

The spelling of 222022130424320 in words is "two hundred twenty-two trillion, twenty-two billion, one hundred thirty million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 22157 44314 88628 110785 177256 221570 354512 443140 709024 886280 1418048 1772560 2836096 3545120 3914221 5672192 7090240 7828442 11344384 14180480 15656884 19571105 28360960 31313768 39142210 56721920 62627536 78284420 125255072 156568840 250510144 313137680 501020288 626275360 1002040576 1252550720 2004081152 2505101440 5010202880 10020405760 86727394697 173454789394 346909578788 433636973485 693819157576 867273946970 1387638315152 1734547893940 2775276630304 3469095787880 5550553260608 6938191575760 11101106521216 13876383151520 22202213042432 27752766303040 44404426084864 55505532606080 111011065212160 222022130424320