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216000064 = 26731103151
BaseRepresentation
bin11001101111111…
…10011001000000
3120001102221101101
430313332121000
5420244000224
633233344144
75231653540
oct1467763100
9501387341
10216000064
11100a21055
1260408054
1335999bb7
1420989320
1513e6a044
hexcdfe640

216000064 has 112 divisors (see below), whose sum is σ = 513949696. Its totient is φ = 88128000.

The previous prime is 216000053. The next prime is 216000073. The reversal of 216000064 is 460000612.

Adding to 216000064 its reverse (460000612), we get a palindrome (676000676).

It is a tau number, because it is divible by the number of its divisors (112).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 216000064 = 43 + 6003 = 2923 + 5763.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1430389 + ... + 1430539.

Almost surely, 2216000064 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 216000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256974848).

216000064 is an abundant number, since it is smaller than the sum of its proper divisors (297949632).

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

216000064 is a wasteful number, since it uses less digits than its factorization.

216000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 216000064 is about 14696.9406340231. The cubic root of 216000064 is about 600.0000592593. Note that the first 4 decimals are identical.

The spelling of 216000064 in words is "two hundred sixteen million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 103 112 124 151 206 217 224 248 302 412 434 448 496 604 721 824 868 992 1057 1208 1442 1648 1736 1984 2114 2416 2884 3193 3296 3472 4228 4681 4832 5768 6386 6592 6944 8456 9362 9664 11536 12772 13888 15553 16912 18724 22351 23072 25544 31106 32767 33824 37448 44702 46144 51088 62212 65534 67648 74896 89404 102176 108871 124424 131068 149792 178808 204352 217742 248848 262136 299584 357616 435484 482143 497696 524272 715232 870968 964286 995392 1048544 1430464 1741936 1928572 2097088 3375001 3483872 3857144 6750002 6967744 7714288 13500004 15428576 27000008 30857152 54000016 108000032 216000064