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216513330 = 235115091289
BaseRepresentation
bin11001110011110…
…11101100110010
3120002102000110020
430321323230302
5420411411310
633252344310
75236222125
oct1471735462
9502360406
10216513330
11101241740
1260615096
1335b196c7
1420a803bc
151401c170
hexce7bb32

216513330 has 64 divisors (see below), whose sum is σ = 568425600. Its totient is φ = 52344320.

The previous prime is 216513287. The next prime is 216513359. The reversal of 216513330 is 33315612.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 216513330.

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 31 ways as a sum of consecutive naturals, for example, 167326 + ... + 168614.

It is an arithmetic number, because the mean of its divisors is an integer number (8881650).

Almost surely, 2216513330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216513330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284212800).

216513330 is an abundant number, since it is smaller than the sum of its proper divisors (351912270).

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

216513330 is a wasteful number, since it uses less digits than its factorization.

216513330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 216513330 is about 14714.3919344294. The cubic root of 216513330 is about 600.4749295263.

Adding to 216513330 its reverse (33315612), we get a palindrome (249828942).

The spelling of 216513330 in words is "two hundred sixteen million, five hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 509 1018 1289 1527 2545 2578 3054 3867 5090 5599 6445 7635 7734 11198 12890 14179 15270 16797 19335 27995 28358 33594 38670 42537 55990 70895 83985 85074 141790 167970 212685 425370 656101 1312202 1968303 3280505 3936606 6561010 7217111 9841515 14434222 19683030 21651333 36085555 43302666 72171110 108256665 216513330