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213221304 = 233227710691
BaseRepresentation
bin11001011010101…
…11111110111000
3112212012202122100
430231113332320
5414041040204
633054023400
75166231312
oct1455277670
9485182570
10213221304
11aa3a335a
125b4a7b60
133523616a
14204647b2
1513abba39
hexcb57fb8

213221304 has 48 divisors (see below), whose sum is σ = 579613320. Its totient is φ = 70810560.

The previous prime is 213221251. The next prime is 213221377. The reversal of 213221304 is 403122312.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 14599 + ... + 25289.

Almost surely, 2213221304 is an apocalyptic number.

213221304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213221304 is an abundant number, since it is smaller than the sum of its proper divisors (366392016).

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

213221304 is a wasteful number, since it uses less digits than its factorization.

213221304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10980 (or 10973 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213221304 is about 14602.0993011279. The cubic root of 213221304 is about 597.4160210632.

Adding to 213221304 its reverse (403122312), we get a palindrome (616343616).

It can be divided in two parts, 2132 and 21304, that added together give a triangular number (23436 = T216).

The spelling of 213221304 in words is "two hundred thirteen million, two hundred twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 277 554 831 1108 1662 2216 2493 3324 4986 6648 9972 10691 19944 21382 32073 42764 64146 85528 96219 128292 192438 256584 384876 769752 2961407 5922814 8884221 11845628 17768442 23691256 26652663 35536884 53305326 71073768 106610652 213221304