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2200221716 = 2272114721713
BaseRepresentation
bin1000001100100100…
…1011100000010100
312200100002211210012
42003021023200110
514001224043331
61002154215352
7105344401400
oct20311134024
95610084705
102200221716
11a29a71160
12514a24558
13290aab554
1416c2d8100
15cd26282b
hex8324b814

2200221716 has 72 divisors (see below), whose sum is σ = 4990398336. Its totient is φ = 838951680.

The previous prime is 2200221713. The next prime is 2200221731. The reversal of 2200221716 is 6171220022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2200221691 and 2200221700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200221713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90476 + ... + 112188.

It is an arithmetic number, because the mean of its divisors is an integer number (69311088).

Almost surely, 22200221716 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 2200221716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495199168).

2200221716 is an abundant number, since it is smaller than the sum of its proper divisors (2790176620).

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

2200221716 is a wasteful number, since it uses less digits than its factorization.

2200221716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21789 (or 21780 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 2200221716 is about 46906.5210391903. The cubic root of 2200221716 is about 1300.6351365857.

Adding to 2200221716 its reverse (6171220022), we get a palindrome (8371441738).

The spelling of 2200221716 in words is "two billion, two hundred million, two hundred twenty-one thousand, seven hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 47 49 77 94 98 154 188 196 308 329 517 539 658 1034 1078 1316 2068 2156 2303 3619 4606 7238 9212 14476 21713 25333 43426 50666 86852 101332 151991 238843 303982 477686 607964 955372 1020511 1063937 1671901 2041022 2127874 3343802 4082044 4255748 6687604 7143577 11225621 11703307 14287154 22451242 23406614 28574308 44902484 46813228 50005039 78579347 100010078 157158694 200020156 314317388 550055429 1100110858 2200221716