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200112000 = 2735311379
BaseRepresentation
bin10111110110101…
…11011110000000
3111221112202001120
423323113132000
5402212041000
631505032240
74646631624
oct1373273600
9457482046
10200112000
11a2a5a120
1257025680
13325c628a
141c811184
151287c6a0
hexbed7780

200112000 has 256 divisors, whose sum is σ = 725587200. Its totient is φ = 48384000.

The previous prime is 200111993. The next prime is 200112013. The reversal of 200112000 is 211002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 200112000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527811 + ... + 528189.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 2200112000 is an apocalyptic number.

200112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362793600).

200112000 is an abundant number, since it is smaller than the sum of its proper divisors (525475200).

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

200112000 is a wasteful number, since it uses less digits than its factorization.

200112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 200112000 is about 14146.0948674890. The cubic root of 200112000 is about 584.9126906006.

Adding to 200112000 its reverse (211002), we get a palindrome (200323002).

The spelling of 200112000 in words is "two hundred million, one hundred twelve thousand".