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216103914 = 23213314
BaseRepresentation
bin11001110000101…
…11101111101010
3120001122012211200
430320113233222
5420310311124
633235505030
75232565365
oct1470275752
9501565750
10216103914
11100a92084
1260458176
1335a05250
14209b50dc
1513e8abc9
hexce17bea

216103914 has 60 divisors (see below), whose sum is σ = 521050530. Its totient is φ = 64348560.

The previous prime is 216103897. The next prime is 216103957. The reversal of 216103914 is 419301612.

216103914 is a `hidden beast` number, since 2 + 1 + 610 + 39 + 14 = 666.

216103914 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 207792225 + 8311689 = 14415^2 + 2883^2 .

It is a super-3 number, since 3×2161039143 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6971079 + ... + 6971109.

Almost surely, 2216103914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216103914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260525265).

216103914 is an abundant number, since it is smaller than the sum of its proper divisors (304946616).

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

216103914 is an frugal number, since it uses more digits than its factorization.

216103914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 216103914 is about 14700.4732576880. The cubic root of 216103914 is about 600.0962012414.

The spelling of 216103914 in words is "two hundred sixteen million, one hundred three thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 961 1209 1922 2418 2883 3627 5766 7254 8649 12493 17298 24986 29791 37479 59582 74958 89373 112437 178746 224874 268119 387283 536238 774566 923521 1161849 1847042 2323698 2770563 3485547 5541126 6971094 8311689 12005773 16623378 24011546 36017319 72034638 108051957 216103914