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216660608 = 2753109293
BaseRepresentation
bin11001110100111…
…11101010000000
3120002200111110222
430322133222000
5420431114413
633255442212
75240404403
oct1472375200
9502614428
10216660608
1110133235a
1260686368
1335b6b758
1420abbd3a
151404ab08
hexce9fa80

216660608 has 64 divisors (see below), whose sum is σ = 445321800. Its totient is φ = 104951808.

The previous prime is 216660601. The next prime is 216660611. The reversal of 216660608 is 806066612.

216660608 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 214563904 + 2096704 = 14648^2 + 1448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (216660601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739310 + ... + 739602.

Almost surely, 2216660608 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 216660608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222660900).

216660608 is an abundant number, since it is smaller than the sum of its proper divisors (228661192).

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

216660608 is a wasteful number, since it uses less digits than its factorization.

216660608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 216660608 is about 14719.3956397673. The cubic root of 216660608 is about 600.6110515561.

The spelling of 216660608 in words is "two hundred sixteen million, six hundred sixty thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 53 64 106 109 128 212 218 293 424 436 586 848 872 1172 1696 1744 2344 3392 3488 4688 5777 6784 6976 9376 11554 13952 15529 18752 23108 31058 31937 37504 46216 62116 63874 92432 124232 127748 184864 248464 255496 369728 496928 510992 739456 993856 1021984 1692661 1987712 2043968 3385322 4087936 6770644 13541288 27082576 54165152 108330304 216660608