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2216561022 = 2321322741729
BaseRepresentation
bin1000010000011110…
…0000100101111110
312201110211222002200
42010013200211332
514014414423042
61003540332330
7105633313014
oct20407404576
95643758080
102216561022
11a38211115
1251a3a40a6
132942ac690
1417054c8b4
15ce8ddc4c
hex841e097e

2216561022 has 48 divisors (see below), whose sum is σ = 5194884240. Its totient is φ = 678998016.

The previous prime is 2216560981. The next prime is 2216561041. The reversal of 2216561022 is 2201656122.

2216561022 is a `hidden beast` number, since 2 + 2 + 1 + 656 + 1 + 0 + 2 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32254 + ... + 73982.

It is an arithmetic number, because the mean of its divisors is an integer number (108226755).

Almost surely, 22216561022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216561022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597442120).

2216561022 is an abundant number, since it is smaller than the sum of its proper divisors (2978323218).

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

2216561022 is a wasteful number, since it uses less digits than its factorization.

2216561022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41977 (or 41974 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2216561022 is about 47080.3676918522. The cubic root of 2216561022 is about 1303.8467955651.

The spelling of 2216561022 in words is "two billion, two hundred sixteen million, five hundred sixty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 227 234 454 681 1362 2043 2951 4086 5902 8853 17706 26559 41729 53118 83458 125187 250374 375561 542477 751122 1084954 1627431 3254862 4882293 9472483 9764586 18944966 28417449 56834898 85252347 123142279 170504694 246284558 369426837 738853674 1108280511 2216561022