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213443300 = 225271013019
BaseRepresentation
bin11001011100011…
…10001011100100
3112212122001011102
430232032023210
5414120141200
633102455232
75201144450
oct1456161344
9485561142
10213443300
11aa535124
125b594518
13352b3215
14204c1660
1513b126d5
hexcb8e2e4

213443300 has 72 divisors (see below), whose sum is σ = 534757440. Its totient is φ = 72432000.

The previous prime is 213443299. The next prime is 213443323. The reversal of 213443300 is 3344312.

213443300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69191 + ... + 72209.

Almost surely, 2213443300 is an apocalyptic number.

213443300 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 213443300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267378720).

213443300 is an abundant number, since it is smaller than the sum of its proper divisors (321314140).

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

213443300 is a wasteful number, since it uses less digits than its factorization.

213443300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 213443300 is about 14609.6988333093. The cubic root of 213443300 is about 597.6232829766.

Adding to 213443300 its reverse (3344312), we get a palindrome (216787612).

The spelling of 213443300 in words is "two hundred thirteen million, four hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3019 3535 5050 6038 7070 10100 12076 14140 15095 17675 21133 30190 35350 42266 60380 70700 75475 84532 105665 150950 211330 301900 304919 422660 528325 609838 1056650 1219676 1524595 2113300 2134433 3049190 4268866 6098380 7622975 8537732 10672165 15245950 21344330 30491900 42688660 53360825 106721650 213443300