Search a number
-
+
213301400 = 23521382039
BaseRepresentation
bin11001011011010…
…11100010011000
3112212100211111212
430231223202120
5414101121100
633055442252
75200013654
oct1455534230
9485324455
10213301400
11aa448554
125b526388
1335263760
1420485a64
1513ad5635
hexcb6b898

213301400 has 48 divisors (see below), whose sum is σ = 534080400. Its totient is φ = 78756480.

The previous prime is 213301381. The next prime is 213301427. The reversal of 213301400 is 4103312.

213301400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38420 + ... + 43619.

It is an arithmetic number, because the mean of its divisors is an integer number (11126675).

Almost surely, 2213301400 is an apocalyptic number.

213301400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213301400 is an abundant number, since it is smaller than the sum of its proper divisors (320779000).

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

213301400 is a wasteful number, since it uses less digits than its factorization.

213301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82068 (or 82059 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 213301400 is about 14604.8416629555. The cubic root of 213301400 is about 597.4908175967.

Adding to 213301400 its reverse (4103312), we get a palindrome (217404712).

The spelling of 213301400 in words is "two hundred thirteen million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 82039 164078 328156 410195 656312 820390 1066507 1640780 2050975 2133014 3281560 4101950 4266028 5332535 8203900 8532056 10665070 16407800 21330140 26662675 42660280 53325350 106650700 213301400