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2201202112 = 26893831009
BaseRepresentation
bin1000001100110011…
…1010110111000000
312200101221122122011
42003030322313000
514002001431422
61002231222304
7105355623604
oct20314726700
95611848564
102201202112
11a2a5807aa
12515217994
13291062875
1416c4b1504
15cd3a8077
hex8333adc0

2201202112 has 56 divisors (see below), whose sum is σ = 4433011200. Its totient is φ = 1084317696.

The previous prime is 2201202077. The next prime is 2201202161. The reversal of 2201202112 is 2112021022.

It is a happy number.

It is a super-3 number, since 3×22012021123 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2201202092 and 2201202101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2181064 + ... + 2182072.

Almost surely, 22201202112 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 2201202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216505600).

2201202112 is an abundant number, since it is smaller than the sum of its proper divisors (2231809088).

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

2201202112 is a wasteful number, since it uses less digits than its factorization.

2201202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2201202112 is about 46916.9704051743. The cubic root of 2201202112 is about 1300.8282910797.

Adding to 2201202112 its reverse (2112021022), we get a palindrome (4313223134).

The spelling of 2201202112 in words is "two billion, two hundred one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 89 178 356 383 712 766 1009 1424 1532 2018 2848 3064 4036 5696 6128 8072 12256 16144 24512 32288 34087 64576 68174 89801 136348 179602 272696 359204 386447 545392 718408 772894 1090784 1436816 1545788 2181568 2873632 3091576 5747264 6183152 12366304 24732608 34393783 68787566 137575132 275150264 550300528 1100601056 2201202112