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2200140032 = 2841972161
BaseRepresentation
bin1000001100100011…
…0111100100000000
312200022221200201212
42003020313210000
514001213440112
61002152345252
7105343611266
oct20310674400
95608850655
102200140032
11a29a15852
125149a5228
13290a8030c
1416c2b6436
15cd248522
hex83237900

2200140032 has 72 divisors (see below), whose sum is σ = 4547282712. Its totient is φ = 1061683200.

The previous prime is 2200140023. The next prime is 2200140079. The reversal of 2200140032 is 2300410022.

It can be written as a sum of positive squares in 4 ways, for example, as 48664576 + 2151475456 = 6976^2 + 46384^2 .

It is a super-2 number, since 2×22001400322 = 9681232320817922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2200139989 and 2200140016.

It is an unprimeable number.

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, 1017032 + ... + 1019192.

Almost surely, 22200140032 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 2200140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273641356).

2200140032 is an abundant number, since it is smaller than the sum of its proper divisors (2347142680).

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

2200140032 is an equidigital number, since it uses as much as digits as its factorization.

2200140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2200140032 is about 46905.6503206170. The cubic root of 2200140032 is about 1300.6190408752.

Adding to 2200140032 its reverse (2300410022), we get a palindrome (4500550054).

The spelling of 2200140032 in words is "two billion, two hundred million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 97 128 164 194 256 328 388 656 776 1312 1552 2161 2624 3104 3977 4322 5248 6208 7954 8644 10496 12416 15908 17288 24832 31816 34576 63632 69152 88601 127264 138304 177202 209617 254528 276608 354404 419234 509056 553216 708808 838468 1018112 1417616 1676936 2835232 3353872 5670464 6707744 8594297 11340928 13415488 17188594 22681856 26830976 34377188 53661952 68754376 137508752 275017504 550035008 1100070016 2200140032