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216305104 = 24311313329
BaseRepresentation
bin11001110010010…
…00110111010000
3120002000102211011
430321020313100
5420333230404
633244100304
75234364061
oct1471106720
9502012734
10216305104
1110110a254
1260534694
1335a759b2
1420a28568
1513eca604
hexce48dd0

216305104 has 40 divisors (see below), whose sum is σ = 436043520. Its totient is φ = 103833600.

The previous prime is 216305099. The next prime is 216305119. The reversal of 216305104 is 401503612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63312 + ... + 66640.

It is an arithmetic number, because the mean of its divisors is an integer number (10901088).

Almost surely, 2216305104 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 216305104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218021760).

216305104 is an abundant number, since it is smaller than the sum of its proper divisors (219738416).

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

216305104 is a wasteful number, since it uses less digits than its factorization.

216305104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 216305104 is about 14707.3146427212. The cubic root of 216305104 is about 600.2823707941.

Adding to 216305104 its reverse (401503612), we get a palindrome (617808716).

The spelling of 216305104 in words is "two hundred sixteen million, three hundred five thousand, one hundred four".

Divisors: 1 2 4 8 16 31 62 124 131 248 262 496 524 1048 2096 3329 4061 6658 8122 13316 16244 26632 32488 53264 64976 103199 206398 412796 436099 825592 872198 1651184 1744396 3488792 6977584 13519069 27038138 54076276 108152552 216305104