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216640312 = 23723271103
BaseRepresentation
bin11001110100110…
…10101100111000
3120002122110122021
430322122230320
5420424442222
633255204224
75240261260
oct1472325470
9502573567
10216640312
11101319089
1260676674
1335b62445
1420ab47a0
1514044ac7
hexce9ab38

216640312 has 96 divisors (see below), whose sum is σ = 496903680. Its totient is φ = 86708160.

The previous prime is 216640301. The next prime is 216640313. The reversal of 216640312 is 213046612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216640313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2103253 + ... + 2103355.

It is an arithmetic number, because the mean of its divisors is an integer number (5176080).

Almost surely, 2216640312 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 216640312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248451840).

216640312 is an abundant number, since it is smaller than the sum of its proper divisors (280263368).

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

216640312 is a wasteful number, since it uses less digits than its factorization.

216640312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 216640312 is about 14718.7061931408. The cubic root of 216640312 is about 600.5922965970.

Adding to 216640312 its reverse (213046612), we get a palindrome (429686924).

The spelling of 216640312 in words is "two hundred sixteen million, six hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 46 56 71 92 103 142 161 184 206 284 322 412 497 529 568 644 721 824 994 1058 1288 1442 1633 1988 2116 2369 2884 3266 3703 3976 4232 4738 5768 6532 7313 7406 9476 11431 13064 14626 14812 16583 18952 22862 29252 29624 33166 37559 45724 51191 54487 58504 66332 75118 91448 102382 108974 132664 150236 168199 204764 217948 262913 300472 336398 381409 409528 435896 525826 672796 762818 1051652 1177393 1345592 1525636 2103304 2354786 3051272 3868577 4709572 7737154 9419144 15474308 27080039 30948616 54160078 108320156 216640312