Search a number
-
+
206244816 = 243171971283
BaseRepresentation
bin11000100101100…
…00101111010000
3112101002022200220
430102300233100
5410244313231
632244313040
75053023561
oct1422605720
9471068626
10206244816
11a6468868
12590a2780
133396286b
141d56a168
151318e896
hexc4b0bd0

206244816 has 80 divisors (see below), whose sum is σ = 567445824. Its totient is φ = 64325632.

The previous prime is 206244809. The next prime is 206244817. The reversal of 206244816 is 618442602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206244817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160111 + ... + 161393.

Almost surely, 2206244816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206244816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283722912).

206244816 is an abundant number, since it is smaller than the sum of its proper divisors (361201008).

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

206244816 is a wasteful number, since it uses less digits than its factorization.

206244816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 206244816 is about 14361.2261314973. The cubic root of 206244816 is about 590.8279250870.

The spelling of 206244816 in words is "two hundred six million, two hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 197 204 272 394 408 591 788 816 1182 1283 1576 2364 2566 3152 3349 3849 4728 5132 6698 7698 9456 10047 10264 13396 15396 20094 20528 21811 26792 30792 40188 43622 53584 61584 65433 80376 87244 130866 160752 174488 252751 261732 348976 505502 523464 758253 1011004 1046928 1516506 2022008 3033012 4044016 4296767 6066024 8593534 12132048 12890301 17187068 25780602 34374136 51561204 68748272 103122408 206244816