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216080106 = 23112319601
BaseRepresentation
bin11001110000100…
…01111011101010
3120001121000011220
430320101323222
5420304030411
633235202510
75232436104
oct1470217352
9501530156
10216080106
11100a76200
1260446436
13359c7468
14209aa574
1513e83b06
hexce11eea

216080106 has 48 divisors (see below), whose sum is σ = 490393344. Its totient is φ = 63360000.

The previous prime is 216080083. The next prime is 216080119. The reversal of 216080106 is 601080612.

It is a super-2 number, since 2×2160801062 = 93381224417942472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17706 + ... + 27306.

It is an arithmetic number, because the mean of its divisors is an integer number (10216528).

Almost surely, 2216080106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216080106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245196672).

216080106 is an abundant number, since it is smaller than the sum of its proper divisors (274313238).

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

216080106 is a wasteful number, since it uses less digits than its factorization.

216080106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9659 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 216080106 is about 14699.6634655355. The cubic root of 216080106 is about 600.0741630549.

The spelling of 216080106 in words is "two hundred sixteen million, eighty thousand, one hundred six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 2046 3751 7502 9601 11253 19202 22506 28803 57606 105611 211222 297631 316833 595262 633666 892893 1161721 1785786 2323442 3273941 3485163 6547882 6970326 9821823 19643646 36013351 72026702 108040053 216080106