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206440016 = 24192103347
BaseRepresentation
bin11000100111000…
…00011001010000
3112101110020110112
430103200121100
5410322040031
632252420452
75054465636
oct1423403120
9471406415
10206440016
11a6591492
1259177728
1333a00673
141d5bb356
15131cc62b
hexc4e0650

206440016 has 60 divisors (see below), whose sum is σ = 427463712. Its totient is φ = 96558912.

The previous prime is 206439977. The next prime is 206440021. The reversal of 206440016 is 610044602.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 206439973 and 206440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594755 + ... + 595101.

Almost surely, 2206440016 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 206440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213731856).

206440016 is an abundant number, since it is smaller than the sum of its proper divisors (221023696).

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

206440016 is a wasteful number, since it uses less digits than its factorization.

206440016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 206440016 is about 14368.0206013215. The cubic root of 206440016 is about 591.0142622887.

Adding to 206440016 its reverse (610044602), we get a palindrome (816484618).

The spelling of 206440016 in words is "two hundred six million, four hundred forty thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 76 103 152 206 304 347 361 412 694 722 824 1388 1444 1648 1957 2776 2888 3914 5552 5776 6593 7828 13186 15656 26372 31312 35741 37183 52744 71482 74366 105488 125267 142964 148732 250534 285928 297464 501068 571856 594928 679079 1002136 1358158 2004272 2716316 5432632 10865264 12902501 25805002 51610004 103220008 206440016