Search a number
-
+
216394560 = 26325227331
BaseRepresentation
bin11001110010111…
…10101101000000
3120002011222112100
430321132231000
5420344111220
633250030400
75235215634
oct1471365500
9502158470
10216394560
11101170488
1260578400
1335aa7625
1420a4cdc4
1513ee6d90
hexce5eb40

216394560 has 168 divisors, whose sum is σ = 749844576. Its totient is φ = 57277440.

The previous prime is 216394543. The next prime is 216394567. The reversal of 216394560 is 65493612.

It is a happy number.

216394560 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 94 + 560 = 666.

216394560 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 is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216394567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653595 + ... + 653925.

Almost surely, 2216394560 is an apocalyptic number.

216394560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374922288).

216394560 is an abundant number, since it is smaller than the sum of its proper divisors (533450016).

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

216394560 is a wasteful number, since it uses less digits than its factorization.

216394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 216394560 is about 14710.3555361521. The cubic root of 216394560 is about 600.3651111114.

The spelling of 216394560 in words is "two hundred sixteen million, three hundred ninety-four thousand, five hundred sixty".