Search a number
-
+
191213568 = 2123371319
BaseRepresentation
bin10110110010110…
…11000000000000
3111022210122201000
423121123000000
5342422313233
630550212000
74511200650
oct1331330000
9438718630
10191213568
1198a31647
1254054000
13307cbc30
141b576360
1511bc0d13
hexb65b000

191213568 has 416 divisors, whose sum is σ = 733913600. Its totient is φ = 47775744.

The previous prime is 191213551. The next prime is 191213593. The reversal of 191213568 is 865312191.

191213568 is a `hidden beast` number, since 1 + 91 + 2 + 1 + 3 + 568 = 666.

191213568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (416).

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 191213568 = 483 + 5763 = 4323 + 4803.

Its product of digits (12960) is a multiple of the sum of its prime factors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10063863 + ... + 10063881.

Almost surely, 2191213568 is an apocalyptic number.

191213568 is a gapful number since it is divisible by the number (18) 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 191213568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366956800).

191213568 is an abundant number, since it is smaller than the sum of its proper divisors (542700032).

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

191213568 is a wasteful number, since it uses less digits than its factorization.

191213568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 191213568 is about 13827.9994214637. Note that the first 3 decimals coincide. The cubic root of 191213568 is about 576.1110896845. Note that the first 3 decimals are identical.

The spelling of 191213568 in words is "one hundred ninety-one million, two hundred thirteen thousand, five hundred sixty-eight".