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200002112 = 2623831637
BaseRepresentation
bin10111110101111…
…00101001000000
3111221100011022122
423322330221000
5402200031422
631502423412
74645663352
oct1372745100
9457304278
10200002112
11a2994602
1256b91b68
133258825b
141c7c30d2
1512859d42
hexbebca40

200002112 has 56 divisors (see below), whose sum is σ = 419380416. Its totient is φ = 94443008.

The previous prime is 200002091. The next prime is 200002123. The reversal of 200002112 is 211200002.

200002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 200002112.

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, 121358 + ... + 122994.

It is an arithmetic number, because the mean of its divisors is an integer number (7488936).

Almost surely, 2200002112 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 200002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

200002112 is an abundant number, since it is smaller than the sum of its proper divisors (219378304).

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

200002112 is a wasteful number, since it uses less digits than its factorization.

200002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 200002112 is about 14142.2102940099. The cubic root of 200002112 is about 584.8056061438.

Adding to 200002112 its reverse (211200002), we get a palindrome (411202114).

The spelling of 200002112 in words is "two hundred million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 83 92 166 184 332 368 664 736 1328 1472 1637 1909 2656 3274 3818 5312 6548 7636 13096 15272 26192 30544 37651 52384 61088 75302 104768 122176 135871 150604 271742 301208 543484 602416 1086968 1204832 2173936 2409664 3125033 4347872 6250066 8695744 12500132 25000264 50000528 100001056 200002112