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200211000 = 23353116067
BaseRepresentation
bin10111110111011…
…11101000111000
3111221201202212020
423323233220320
5402223223000
631511114440
74650523353
oct1373575070
9457652766
10200211000
11a3017540
1257072a20
133262c362
141c83929a
151289bba0
hexbeefa38

200211000 has 128 divisors (see below), whose sum is σ = 681557760. Its totient is φ = 48528000.

The previous prime is 200210993. The next prime is 200211029. The reversal of 200211000 is 112002.

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 200211000.

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, 29967 + ... + 36033.

It is an arithmetic number, because the mean of its divisors is an integer number (5324670).

Almost surely, 2200211000 is an apocalyptic number.

200211000 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 200211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340778880).

200211000 is an abundant number, since it is smaller than the sum of its proper divisors (481346760).

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

200211000 is a wasteful number, since it uses less digits than its factorization.

200211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6102 (or 6088 counting only the distinct ones).

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

The square root of 200211000 is about 14149.5936337409. The cubic root of 200211000 is about 585.0091312769.

Adding to 200211000 its reverse (112002), we get a palindrome (200323002).

The spelling of 200211000 in words is "two hundred million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6067 6600 8250 11000 12134 16500 18201 24268 30335 33000 36402 48536 60670 66737 72804 91005 121340 133474 145608 151675 182010 200211 242680 266948 303350 333685 364020 400422 455025 533896 606700 667370 728040 758375 800844 910050 1001055 1213400 1334740 1516750 1601688 1668425 1820100 2002110 2275125 2669480 3033500 3336850 3640200 4004220 4550250 5005275 6067000 6673700 8008440 8342125 9100500 10010550 13347400 16684250 18201000 20021100 25026375 33368500 40042200 50052750 66737000 100105500 200211000