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2213206566112 = 251721065122469
BaseRepresentation
bin100000001101001101011…
…001000010010011100000
321211120200011121121100201
4200031031121002103200
5242230121340103422
64412422201354544
7315620215262203
oct40151531022340
97746604547321
102213206566112
11783685454633
122b8b26498a54
1313092099b0b9
147919690b93a
153c885aa8727
hex2034d6424e0

2213206566112 has 72 divisors (see below), whose sum is σ = 4629276860040. Its totient is φ = 1041364838400.

The previous prime is 2213206566083. The next prime is 2213206566119. The reversal of 2213206566112 is 2116656023122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213206566119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98489214 + ... + 98511682.

It is an arithmetic number, because the mean of its divisors is an integer number (64295511945).

Almost surely, 22213206566112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213206566112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314638430020).

2213206566112 is an abundant number, since it is smaller than the sum of its proper divisors (2416070293928).

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

2213206566112 is a wasteful number, since it uses less digits than its factorization.

2213206566112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33164 (or 33139 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 2213206566112 in words is "two trillion, two hundred thirteen billion, two hundred six million, five hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 4624 9248 10651 21302 22469 42604 44938 85208 89876 170416 179752 181067 340832 359504 362134 381973 719008 724268 763946 1448536 1527892 2897072 3055784 3078139 5794144 6111568 6156278 6493541 12223136 12312556 12987082 24625112 25974164 49250224 51948328 98500448 103896656 207793312 239317319 478634638 957269276 1914538552 3829077104 4068394423 7658154208 8136788846 16273577692 32547155384 65094310768 69162705191 130188621536 138325410382 276650820764 553301641528 1106603283056 2213206566112