Search a number
-
+
992025216 = 27327139463
BaseRepresentation
bin111011001000010…
…001101010000000
32120010200002202200
4323020101222000
54012424301331
6242234313200
733404034540
oct7310215200
92503602680
10992025216
11469a77256
12238288800
1312a6a7390
1495a73320
155c1585e6
hex3b211a80

992025216 has 192 divisors, whose sum is σ = 3513793920. Its totient is φ = 261605376.

The previous prime is 992025173. The next prime is 992025247. The reversal of 992025216 is 612520299.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×9920252162 = 1968228058359693312, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100101 + ... + 109563.

It is an arithmetic number, because the mean of its divisors is an integer number (18301010).

Almost surely, 2992025216 is an apocalyptic number.

992025216 is a gapful number since it is divisible by the number (96) 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 992025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756896960).

992025216 is an abundant number, since it is smaller than the sum of its proper divisors (2521768704).

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

992025216 is a wasteful number, since it uses less digits than its factorization.

992025216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 992025216 is about 31496.4317979037. The cubic root of 992025216 is about 997.3346408389.

The spelling of 992025216 in words is "nine hundred ninety-two million, twenty-five thousand, two hundred sixteen".