Search a number
-
+
206644104 = 233283151229
BaseRepresentation
bin11000101000100…
…10001110001000
3112101211121102100
430110102032020
5410400102404
632301033400
75056305642
oct1424221610
9471747370
10206644104
11a6710857
1259255860
1333a72524
141d631892
151321cd39
hexc512388

206644104 has 96 divisors (see below), whose sum is σ = 572644800. Its totient is φ = 67305600.

The previous prime is 206644103. The next prime is 206644127. The reversal of 206644104 is 401446602.

206644104 is a `hidden beast` number, since 2 + 0 + 6 + 644 + 10 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (206644103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902262 + ... + 902490.

It is an arithmetic number, because the mean of its divisors is an integer number (5965050).

Almost surely, 2206644104 is an apocalyptic number.

206644104 is a gapful number since it is divisible by the number (24) 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 206644104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286322400).

206644104 is an abundant number, since it is smaller than the sum of its proper divisors (366000696).

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

206644104 is a wasteful number, since it uses less digits than its factorization.

206644104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 206644104 is about 14375.1210081863. The cubic root of 206644104 is about 591.2089583796.

The spelling of 206644104 in words is "two hundred six million, six hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 151 166 229 249 302 332 453 458 498 604 664 687 747 906 916 996 1208 1359 1374 1494 1812 1832 1992 2061 2718 2748 2988 3624 4122 5436 5496 5976 8244 10872 12533 16488 19007 25066 34579 37599 38014 50132 57021 69158 75198 76028 100264 103737 112797 114042 138316 150396 152056 171063 207474 225594 228084 276632 300792 311211 342126 414948 451188 456168 622422 684252 829896 902376 1244844 1368504 2489688 2870057 5740114 8610171 11480228 17220342 22960456 25830513 34440684 51661026 68881368 103322052 206644104