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2201112192 = 2738369061
BaseRepresentation
bin1000001100110010…
…0100111010000000
312200101210002021210
42003030210322000
514001441042232
61002225250120
7105355100466
oct20314447200
95611702253
102201112192
11a2a51a194
12515193940
13291030966
1416c48a836
15cd38b5cc
hex83324e80

2201112192 has 64 divisors (see below), whose sum is σ = 5917232160. Its totient is φ = 724853760.

The previous prime is 2201112191. The next prime is 2201112217. The reversal of 2201112192 is 2912111022.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2201112191) 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 7 ways as a sum of consecutive naturals, for example, 2659 + ... + 66402.

Almost surely, 22201112192 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 2201112192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958616080).

2201112192 is an abundant number, since it is smaller than the sum of its proper divisors (3716119968).

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

2201112192 is an equidigital number, since it uses as much as digits as its factorization.

2201112192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69161 (or 69149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 2201112192 is about 46916.0121067424. The cubic root of 2201112192 is about 1300.8105777172.

The spelling of 2201112192 in words is "two billion, two hundred one million, one hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2656 3984 5312 7968 10624 15936 31872 69061 138122 207183 276244 414366 552488 828732 1104976 1657464 2209952 3314928 4419904 5732063 6629856 8839808 11464126 13259712 17196189 22928252 26519424 34392378 45856504 68784756 91713008 137569512 183426016 275139024 366852032 550278048 733704064 1100556096 2201112192