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982224096 = 253717127677
BaseRepresentation
bin111010100010111…
…000110011100000
32112110020011011020
4322202320303200
54002422132341
6241244245440
733224524050
oct7242706340
92473204136
10982224096
11464492557
12234b40880
131286551b9
1494641560
155b36e566
hex3a8b8ce0

982224096 has 192 divisors, whose sum is σ = 3149217792. Its totient is φ = 261660672.

The previous prime is 982224077. The next prime is 982224097. The reversal of 982224096 is 690422289.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982224097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1450510 + ... + 1451186.

It is an arithmetic number, because the mean of its divisors is an integer number (16402176).

Almost surely, 2982224096 is an apocalyptic number.

982224096 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 982224096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574608896).

982224096 is an abundant number, since it is smaller than the sum of its proper divisors (2166993696).

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

982224096 is a wasteful number, since it uses less digits than its factorization.

982224096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 982224096 is about 31340.4546233778. The cubic root of 982224096 is about 994.0392385867.

The spelling of 982224096 in words is "nine hundred eighty-two million, two hundred twenty-four thousand, ninety-six".