Search a number
-
+
215311144608 = 25327283183823
BaseRepresentation
bin1100100010000110001…
…0110101011010100000
3202120202101220102100100
43020201202311122200
512011424123111413
6242525041022400
721361416350400
oct3104142653240
9676671812310
10215311144608
118334958981a
123588b324a00
13173c4468861
14a5c777a800
155902749a73
hex32218b56a0

215311144608 has 216 divisors, whose sum is σ = 720842286528. Its totient is φ = 60775964928.

The previous prime is 215311144577. The next prime is 215311144619. The reversal of 215311144608 is 806441113512.

215311144608 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 1 + 1 + 1 + 44 + 608 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1079385 + ... + 1263207.

It is an arithmetic number, because the mean of its divisors is an integer number (3337232808).

Almost surely, 2215311144608 is an apocalyptic number.

215311144608 is a gapful number since it is divisible by the number (28) 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 215311144608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360421143264).

215311144608 is an abundant number, since it is smaller than the sum of its proper divisors (505531141920).

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

215311144608 is a wasteful number, since it uses less digits than its factorization.

215311144608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183936 (or 183918 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 215311144608 in words is "two hundred fifteen billion, three hundred eleven million, one hundred forty-four thousand, six hundred eight".