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982233216 = 2735231373
BaseRepresentation
bin111010100010111…
…011000010000000
32112110020121200000
4322202323002000
54002422430331
6241244400000
733224562456
oct7242730200
92473217600
10982233216
11464499398
12234b46000
131286593b3
14946449d6
155b3720e6
hex3a8bb080

982233216 has 192 divisors, whose sum is σ = 3060832320. Its totient is φ = 312947712.

The previous prime is 982233211. The next prime is 982233227. The reversal of 982233216 is 612332289.

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

It is a super-2 number, since 2×9822332162 = 1929564181227405312, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (982233211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714706 + ... + 716078.

It is an arithmetic number, because the mean of its divisors is an integer number (15941835).

Almost surely, 2982233216 is an apocalyptic number.

982233216 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 982233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530416160).

982233216 is an abundant number, since it is smaller than the sum of its proper divisors (2078599104).

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

982233216 is a wasteful number, since it uses less digits than its factorization.

982233216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1401 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 982233216 is about 31340.6001218866. The cubic root of 982233216 is about 994.0423151452.

The spelling of 982233216 in words is "nine hundred eighty-two million, two hundred thirty-three thousand, two hundred sixteen".