[go: up one dir, main page]

Search a number
-
+
211338800 = 24523071721
BaseRepresentation
bin11001001100011…
…00011000110000
3112201200010022222
430212030120300
5413100320200
632545420212
75144231051
oct1446143060
9481603288
10211338800
11a9327a72
125a93a668
1334a2735a
14200d4728
1513848d85
hexc98c630

211338800 has 60 divisors (see below), whose sum is σ = 509691336. Its totient is φ = 84211200.

The previous prime is 211338793. The next prime is 211338821. The reversal of 211338800 is 8833112.

It is a self number, because there is not a number n which added to its sum of digits gives 211338800.

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 11 ways as a sum of consecutive naturals, for example, 121940 + ... + 123660.

Almost surely, 2211338800 is an apocalyptic number.

211338800 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 211338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254845668).

211338800 is an abundant number, since it is smaller than the sum of its proper divisors (298352536).

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

211338800 is a wasteful number, since it uses less digits than its factorization.

211338800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 211338800 is about 14537.4963456573. The cubic root of 211338800 is about 595.6526510794.

The spelling of 211338800 in words is "two hundred eleven million, three hundred thirty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 307 400 614 1228 1535 1721 2456 3070 3442 4912 6140 6884 7675 8605 12280 13768 15350 17210 24560 27536 30700 34420 43025 61400 68840 86050 122800 137680 172100 344200 528347 688400 1056694 2113388 2641735 4226776 5283470 8453552 10566940 13208675 21133880 26417350 42267760 52834700 105669400 211338800