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216592064 = 2613439593
BaseRepresentation
bin11001110100011…
…10111011000000
3120002120000110022
430322032323000
5420421421224
633254153012
75240000513
oct1472167300
9502500408
10216592064
11101295907
1260652768
1335b464b0
1420aa0d7a
151403565e
hexce8eec0

216592064 has 56 divisors (see below), whose sum is σ = 464698080. Its totient is φ = 99569664.

The previous prime is 216592063. The next prime is 216592109. The reversal of 216592064 is 460295612.

It is a happy number.

216592064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216592063) 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, 364952 + ... + 365544.

It is an arithmetic number, because the mean of its divisors is an integer number (8298180).

Almost surely, 2216592064 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 216592064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232349040).

216592064 is an abundant number, since it is smaller than the sum of its proper divisors (248106016).

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

216592064 is a wasteful number, since it uses less digits than its factorization.

216592064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 216592064 is about 14717.0670991200. The cubic root of 216592064 is about 600.5477072832.

The spelling of 216592064 in words is "two hundred sixteen million, five hundred ninety-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 439 593 832 878 1186 1756 2372 3512 4744 5707 7024 7709 9488 11414 14048 15418 18976 22828 28096 30836 37952 45656 61672 91312 123344 182624 246688 260327 365248 493376 520654 1041308 2082616 3384251 4165232 6768502 8330464 13537004 16660928 27074008 54148016 108296032 216592064