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20222504214 = 23112791013491
BaseRepresentation
bin10010110101010110…
…101110110100010110
31221012100012122122120
4102311112232310112
5312403430113324
613142354240410
71314063310143
oct226526566426
957170178576
1020222504214
118638092800
123b04586106
131ba3811133
14d9ba853ca
157d556d179
hex4b55aed16

20222504214 has 96 divisors (see below), whose sum is σ = 45477573120. Its totient is φ = 5988840000.

The previous prime is 20222504189. The next prime is 20222504221. The reversal of 20222504214 is 41240522202.

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 47 ways as a sum of consecutive naturals, for example, 5791009 + ... + 5794499.

It is an arithmetic number, because the mean of its divisors is an integer number (473724720).

Almost surely, 220222504214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222504214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22738786560).

20222504214 is an abundant number, since it is smaller than the sum of its proper divisors (25255068906).

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

20222504214 is a wasteful number, since it uses less digits than its factorization.

20222504214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The spelling of 20222504214 in words is "twenty billion, two hundred twenty-two million, five hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 79 101 121 158 202 237 242 303 363 474 606 726 869 1111 1738 2222 2607 3333 3491 5214 6666 6982 7979 9559 10473 12221 15958 19118 20946 23937 24442 28677 36663 38401 47874 57354 73326 76802 87769 115203 175538 230406 263307 275789 352591 422411 526614 551578 705182 827367 844822 965459 1057773 1267233 1654734 1930918 2115546 2534466 2896377 3033679 3878501 5792754 6067358 7757002 9101037 11635503 18202074 23271006 27854689 33370469 42663511 55709378 66740938 83564067 85327022 100111407 127990533 167128134 200222814 255981066 306401579 612803158 919204737 1838409474 3370417369 6740834738 10111252107 20222504214