Search a number
-
+
215641140 = 2235111341613
BaseRepresentation
bin11001101101001…
…10110000110100
3120000202201000220
430312212300310
5420201004030
633221534340
75225630241
oct1466466064
9500681026
10215641140
111007a6420
12602743b0
13358a2710
14208d45c8
1513de8a10
hexcda6c34

215641140 has 192 divisors, whose sum is σ = 727840512. Its totient is φ = 47001600.

The previous prime is 215641133. The next prime is 215641159. The reversal of 215641140 is 41146512.

It is a happy number.

215641140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2156411402 = 93002202520999200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 215641140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351474 + ... + 352086.

It is an arithmetic number, because the mean of its divisors is an integer number (3790836).

Almost surely, 2215641140 is an apocalyptic number.

215641140 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 215641140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363920256).

215641140 is an abundant number, since it is smaller than the sum of its proper divisors (512199372).

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

215641140 is a wasteful number, since it uses less digits than its factorization.

215641140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 215641140 is about 14684.7247165209. The cubic root of 215641140 is about 599.6675380380.

Adding to 215641140 its reverse (41146512), we get a palindrome (256787652).

The spelling of 215641140 in words is "two hundred fifteen million, six hundred forty-one thousand, one hundred forty".