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222142403320 = 23559491191707
BaseRepresentation
bin1100111011100010111…
…0000001001011111000
3210020101111010022121021
43032320232001023320
512114421423401240
6250014550352224
722022616162505
oct3167056011370
9706344108537
10222142403320
1186234660582
123707705b674
1317c42810386
14aa74b304ac
155ba233154a
hex33b8b812f8

222142403320 has 64 divisors (see below), whose sum is σ = 509329814400. Its totient is φ = 87172552320.

The previous prime is 222142403309. The next prime is 222142403339. The reversal of 222142403320 is 23304241222.

222142403320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1062907 + ... + 1254613.

It is an arithmetic number, because the mean of its divisors is an integer number (7958278350).

Almost surely, 2222142403320 is an apocalyptic number.

222142403320 is a gapful number since it is divisible by the number (20) 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 222142403320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254664907200).

222142403320 is an abundant number, since it is smaller than the sum of its proper divisors (287187411080).

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

222142403320 is a wasteful number, since it uses less digits than its factorization.

222142403320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192268 (or 192264 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 222142403320 its reverse (23304241222), we get a palindrome (245446644542).

The spelling of 222142403320 in words is "two hundred twenty-two billion, one hundred forty-two million, four hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 491 590 982 1180 1964 2360 2455 3928 4910 9820 19640 28969 57938 115876 144845 191707 231752 289690 383414 579380 766828 958535 1158760 1533656 1917070 3834140 7668280 11310713 22621426 45242852 56553565 90485704 94128137 113107130 188256274 226214260 376512548 452428520 470640685 753025096 941281370 1882562740 3765125480 5553560083 11107120166 22214240332 27767800415 44428480664 55535600830 111071201660 222142403320