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216654066 = 23223261373
BaseRepresentation
bin11001110100111…
…10000011110010
3120002200011111200
430322132003302
5420430412231
633255352030
75240346336
oct1472360362
9502604450
10216654066
11101328452
1260682616
1335b68795
1420ab97c6
1514048be6
hexce9e0f2

216654066 has 72 divisors (see below), whose sum is σ = 500095596. Its totient is φ = 67763520.

The previous prime is 216654049. The next prime is 216654073. The reversal of 216654066 is 660456612.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 200081025 + 16573041 = 14145^2 + 4071^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 216654066.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 580656 + ... + 581028.

Almost surely, 2216654066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216654066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250047798).

216654066 is an abundant number, since it is smaller than the sum of its proper divisors (283441530).

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

216654066 is a wasteful number, since it uses less digits than its factorization.

216654066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 216654066 is about 14719.1734142920. The cubic root of 216654066 is about 600.6050064070.

The spelling of 216654066 in words is "two hundred sixteen million, six hundred fifty-four thousand, sixty-six".

Divisors: 1 2 3 6 9 18 23 46 61 69 122 138 183 207 366 373 414 529 549 746 1058 1098 1119 1403 1587 2238 2806 3174 3357 4209 4761 6714 8418 8579 9522 12627 17158 22753 25254 25737 32269 45506 51474 64538 68259 77211 96807 136518 154422 193614 197317 204777 290421 394634 409554 523319 580842 591951 1046638 1183902 1569957 1775853 3139914 3551706 4709871 9419742 12036337 24072674 36109011 72218022 108327033 216654066