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992023200 = 25311527
BaseRepresentation
bin111011001000010…
…001001010100000
32120010200000000000
4323020101022200
54012424220300
6242234300000
733404025630
oct7310211240
92503600000
10992023200
11469a75793
12238287600
1312a6a649c
1495a726c0
155c157c00
hex3b2112a0

992023200 has 432 divisors, whose sum is σ = 4151609280. Its totient is φ = 226748160.

The previous prime is 992023199. The next prime is 992023217. The reversal of 992023200 is 2320299.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×9920232002 = 1968220058676480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 141717597 + ... + 141717603.

Almost surely, 2992023200 is an apocalyptic number.

992023200 is a gapful number since it is divisible by the number (90) 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 992023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075804640).

992023200 is an abundant number, since it is smaller than the sum of its proper divisors (3159586080).

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

992023200 is an frugal number, since it uses more digits than its factorization.

992023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 992023200 is about 31496.3997942622. The cubic root of 992023200 is about 997.3339652418. Note that the first 3 decimals are identical.

Adding to 992023200 its reverse (2320299), we get a palindrome (994343499).

The spelling of 992023200 in words is "nine hundred ninety-two million, twenty-three thousand, two hundred".