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206223240 = 233510716061
BaseRepresentation
bin11000100101010…
…11011110001000
3112101001020002210
430102223132020
5410243120430
632244025120
75052603636
oct1422533610
9471036083
10206223240
11a6453633
12590921a0
1333955ab2
141d562356
15131882b0
hexc4ab788

206223240 has 64 divisors (see below), whose sum is σ = 624490560. Its totient is φ = 54475520.

The previous prime is 206223233. The next prime is 206223247. The reversal of 206223240 is 42322602.

It is an interprime number because it is at equal distance from previous prime (206223233) and next prime (206223247).

It is not an unprimeable number, because it can be changed into a prime (206223247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4810 + ... + 20870.

It is an arithmetic number, because the mean of its divisors is an integer number (9757665).

Almost surely, 2206223240 is an apocalyptic number.

206223240 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 206223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312245280).

206223240 is an abundant number, since it is smaller than the sum of its proper divisors (418267320).

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

206223240 is a wasteful number, since it uses less digits than its factorization.

206223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16182 (or 16178 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 206223240 is about 14360.4749225087. The cubic root of 206223240 is about 590.8073215019.

Adding to 206223240 its reverse (42322602), we get a palindrome (248545842).

It can be divided in two parts, 206 and 223240, that added together give a triangular number (223446 = T668).

The spelling of 206223240 in words is "two hundred six million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 16061 32122 48183 64244 80305 96366 128488 160610 192732 240915 321220 385464 481830 642440 963660 1718527 1927320 3437054 5155581 6874108 8592635 10311162 13748216 17185270 20622324 25777905 34370540 41244648 51555810 68741080 103111620 206223240