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211330000 = 245473019
BaseRepresentation
bin11001001100010…
…10001111010000
3112201122200021001
430212022033100
5413100030000
632545311344
75144163310
oct1446121720
9481580231
10211330000
11a93213a2
125a935554
1334a2334b
14200d1440
151384646a
hexc98a3d0

211330000 has 100 divisors (see below), whose sum is σ = 584937760. Its totient is φ = 72432000.

The previous prime is 211329991. The next prime is 211330013. The reversal of 211330000 is 33112.

211330000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68491 + ... + 71509.

Almost surely, 2211330000 is an apocalyptic number.

211330000 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 211330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292468880).

211330000 is an abundant number, since it is smaller than the sum of its proper divisors (373607760).

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

211330000 is an equidigital number, since it uses as much as digits as its factorization.

211330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 211330000 is about 14537.1936769103. The cubic root of 211330000 is about 595.6443834445.

Adding to 211330000 its reverse (33112), we get a palindrome (211363112).

The spelling of 211330000 in words is "two hundred eleven million, three hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3019 3500 4375 5000 6038 7000 8750 10000 12076 14000 15095 17500 21133 24152 30190 35000 42266 48304 60380 70000 75475 84532 105665 120760 150950 169064 211330 241520 301900 338128 377375 422660 528325 603800 754750 845320 1056650 1207600 1509500 1690640 1886875 2113300 2641625 3019000 3773750 4226600 5283250 6038000 7547500 8453200 10566500 13208125 15095000 21133000 26416250 30190000 42266000 52832500 105665000 211330000