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209533230 = 23451671549
BaseRepresentation
bin11000111110100…
…11100100101110
3112121021101120000
430133103210232
5412120030410
632443005130
75123001024
oct1437234456
9477241500
10209533230
11a8304465
125a2097a6
133454457a
141db84714
15135dddc0
hexc7d392e

209533230 has 80 divisors (see below), whose sum is σ = 567151200. Its totient is φ = 55505088.

The previous prime is 209533229. The next prime is 209533237. The reversal of 209533230 is 32335902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 209533194 and 209533203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209533237) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134496 + ... + 136044.

It is an arithmetic number, because the mean of its divisors is an integer number (7089390).

Almost surely, 2209533230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209533230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283575600).

209533230 is an abundant number, since it is smaller than the sum of its proper divisors (357617970).

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

209533230 is a wasteful number, since it uses less digits than its factorization.

209533230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 209533230 is about 14475.2626919169. The cubic root of 209533230 is about 593.9514805793.

The spelling of 209533230 in words is "two hundred nine million, five hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 167 270 334 405 501 810 835 1002 1503 1549 1670 2505 3006 3098 4509 4647 5010 7515 7745 9018 9294 13527 13941 15030 15490 22545 23235 27054 27882 41823 45090 46470 67635 69705 83646 125469 135270 139410 209115 250938 258683 418230 517366 627345 776049 1254690 1293415 1552098 2328147 2586830 3880245 4656294 6984441 7760490 11640735 13968882 20953323 23281470 34922205 41906646 69844410 104766615 209533230