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213688230 = 23573133251
BaseRepresentation
bin11001011110010…
…01111110100110
3112220002111010220
430233021332212
5414201010410
633112025210
75203214520
oct1457117646
9486074126
10213688230
11aa692148
125b692206
133536a852
1420546a10
1513b60070
hexcbc9fa6

213688230 has 64 divisors (see below), whose sum is σ = 588169728. Its totient is φ = 48672000.

The previous prime is 213688213. The next prime is 213688243. The reversal of 213688230 is 32886312.

213688230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213688191 and 213688200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64105 + ... + 67355.

It is an arithmetic number, because the mean of its divisors is an integer number (9190152).

Almost surely, 2213688230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213688230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294084864).

213688230 is an abundant number, since it is smaller than the sum of its proper divisors (374481498).

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

213688230 is a wasteful number, since it uses less digits than its factorization.

213688230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 213688230 is about 14618.0788751464. The cubic root of 213688230 is about 597.8517900582.

The spelling of 213688230 in words is "two hundred thirteen million, six hundred eighty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 313 626 939 1565 1878 2191 3130 3251 4382 4695 6502 6573 9390 9753 10955 13146 16255 19506 21910 22757 32510 32865 45514 48765 65730 68271 97530 113785 136542 227570 341355 682710 1017563 2035126 3052689 5087815 6105378 7122941 10175630 14245882 15263445 21368823 30526890 35614705 42737646 71229410 106844115 213688230