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213313200 = 24352177761
BaseRepresentation
bin11001011011011…
…10011010110000
3112212101102200220
430231232122300
5414102010300
633100013040
75200063242
oct1455563260
9485342626
10213313200
11aa456401
125b531180
1335268c39
142048a092
1513ad8da0
hexcb6e6b0

213313200 has 60 divisors (see below), whose sum is σ = 683317128. Its totient is φ = 56883200.

The previous prime is 213313187. The next prime is 213313211. The reversal of 213313200 is 2313312.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213313200.

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, 87681 + ... + 90080.

Almost surely, 2213313200 is an apocalyptic number.

213313200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213313200 is an abundant number, since it is smaller than the sum of its proper divisors (470003928).

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

213313200 is a wasteful number, since it uses less digits than its factorization.

213313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177782 (or 177771 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213313200 is about 14605.2456329909. The cubic root of 213313200 is about 597.5018352797.

Adding to 213313200 its reverse (2313312), we get a palindrome (215626512).

It can be divided in two parts, 21331 and 3200, that added together give a triangular number (24531 = T221).

The spelling of 213313200 in words is "two hundred thirteen million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 177761 355522 533283 711044 888805 1066566 1422088 1777610 2133132 2666415 2844176 3555220 4266264 4444025 5332830 7110440 8532528 8888050 10665660 13332075 14220880 17776100 21331320 26664150 35552200 42662640 53328300 71104400 106656600 213313200