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216804366 = 232174316477
BaseRepresentation
bin11001110110000…
…10110000001110
3120002221210200100
430323002300032
5421000214431
633302511530
75241543462
oct1473026016
9502853610
10216804366
11101420369
12607355a6
1335bbc00c
1420b184a2
15140784e6
hexcec2c0e

216804366 has 48 divisors (see below), whose sum is σ = 508972464. Its totient is φ = 66431232.

The previous prime is 216804347. The next prime is 216804389. The reversal of 216804366 is 663408612.

216804366 is a `hidden beast` number, since 216 + 8 + 0 + 436 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 216804366.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4920 + ... + 21396.

It is an arithmetic number, because the mean of its divisors is an integer number (10603593).

Almost surely, 2216804366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216804366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254486232).

216804366 is an abundant number, since it is smaller than the sum of its proper divisors (292168098).

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

216804366 is a wasteful number, since it uses less digits than its factorization.

216804366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16545 (or 16542 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 216804366 is about 14724.2781147328. The cubic root of 216804366 is about 600.7438607376.

The spelling of 216804366 in words is "two hundred sixteen million, eight hundred four thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 774 1462 2193 4386 6579 13158 16477 32954 49431 98862 148293 280109 296586 560218 708511 840327 1417022 1680654 2125533 2520981 4251066 5041962 6376599 12044687 12753198 24089374 36134061 72268122 108402183 216804366