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213230600 = 235211103941
BaseRepresentation
bin11001011010110…
…10010000001000
3112212020020101122
430231122100020
5414041334400
633054134412
75166300362
oct1455322010
9485206348
10213230600
11aa3aa340
125b4b1408
133523a46b
1420467d32
1513abe685
hexcb5a408

213230600 has 96 divisors (see below), whose sum is σ = 546661440. Its totient is φ = 76704000.

The previous prime is 213230599. The next prime is 213230603. The reversal of 213230600 is 6032312.

It is not an unprimeable number, because it can be changed into a prime (213230603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226130 + ... + 227070.

It is an arithmetic number, because the mean of its divisors is an integer number (5694390).

Almost surely, 2213230600 is an apocalyptic number.

213230600 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 213230600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273330720).

213230600 is an abundant number, since it is smaller than the sum of its proper divisors (333430840).

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

213230600 is a wasteful number, since it uses less digits than its factorization.

213230600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 213230600 is about 14602.4176080538. The cubic root of 213230600 is about 597.4247029640.

Adding to 213230600 its reverse (6032312), we get a palindrome (219262912).

The spelling of 213230600 in words is "two hundred thirteen million, two hundred thirty thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 103 110 200 206 220 275 412 440 515 550 824 941 1030 1100 1133 1882 2060 2200 2266 2575 3764 4120 4532 4705 5150 5665 7528 9064 9410 10300 10351 11330 18820 20600 20702 22660 23525 28325 37640 41404 45320 47050 51755 56650 82808 94100 96923 103510 113300 188200 193846 207020 226600 258775 387692 414040 484615 517550 775384 969230 1035100 1066153 1938460 2070200 2132306 2423075 3876920 4264612 4846150 5330765 8529224 9692300 10661530 19384600 21323060 26653825 42646120 53307650 106615300 213230600