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213323200 = 2652133327
BaseRepresentation
bin11001011011100…
…00110111000000
3112212101221102021
430231300313000
5414102320300
633100131224
75200134346
oct1455606700
9485357367
10213323200
11aa462972
125b536b14
133527065c
142048d996
1513adbd1a
hexcb70dc0

213323200 has 42 divisors (see below), whose sum is σ = 524912336. Its totient is φ = 85328640.

The previous prime is 213323171. The next prime is 213323213. The reversal of 213323200 is 2323312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65064 + ... + 68263.

Almost surely, 2213323200 is an apocalyptic number.

213323200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213323200 is an abundant number, since it is smaller than the sum of its proper divisors (311589136).

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

213323200 is a wasteful number, since it uses less digits than its factorization.

213323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133349 (or 133334 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 213323200 is about 14605.5879717319. The cubic root of 213323200 is about 597.5111719811.

Adding to 213323200 its reverse (2323312), we get a palindrome (215646512).

The spelling of 213323200 in words is "two hundred thirteen million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 133327 266654 533308 666635 1066616 1333270 2133232 2666540 3333175 4266464 5333080 6666350 8532928 10666160 13332700 21332320 26665400 42664640 53330800 106661600 213323200