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211994200 = 235211173557
BaseRepresentation
bin11001010001011…
…00011001011000
3112202220102101001
430220230121120
5413232303300
633011434344
75152630615
oct1450543130
9482812331
10211994200
11a9735420
125abb59b4
1334bc6772
142022550c
151392816a
hexca2c658

211994200 has 96 divisors (see below), whose sum is σ = 541773360. Its totient is φ = 76505600.

The previous prime is 211994161. The next prime is 211994207. The reversal of 211994200 is 2499112.

It is a happy number.

211994200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211994207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380322 + ... + 380878.

Almost surely, 2211994200 is an apocalyptic number.

211994200 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 211994200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270886680).

211994200 is an abundant number, since it is smaller than the sum of its proper divisors (329779160).

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

211994200 is a wasteful number, since it uses less digits than its factorization.

211994200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 211994200 is about 14560.0206043810. The cubic root of 211994200 is about 596.2677580132.

The spelling of 211994200 in words is "two hundred eleven million, nine hundred ninety-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 173 200 220 275 346 440 550 557 692 865 1100 1114 1384 1730 1903 2200 2228 2785 3460 3806 4325 4456 5570 6127 6920 7612 8650 9515 11140 12254 13925 15224 17300 19030 22280 24508 27850 30635 34600 38060 47575 49016 55700 61270 76120 95150 96361 111400 122540 153175 190300 192722 245080 306350 380600 385444 481805 612700 770888 963610 1059971 1225400 1927220 2119942 2409025 3854440 4239884 4818050 5299855 8479768 9636100 10599710 19272200 21199420 26499275 42398840 52998550 105997100 211994200