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8221332 = 2237971009
BaseRepresentation
bin11111010111001010010100
3120110200112210
4133113022110
54101040312
6452113420
7126610620
oct37271224
916420483
108221332
114705899
122905870
13191b0c2
141140180
15ac5e3c
hex7d7294

8221332 has 48 divisors (see below), whose sum is σ = 22171520. Its totient is φ = 2322432.

The previous prime is 8221331. The next prime is 8221337. The reversal of 8221332 is 2331228.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 8221299 and 8221308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7644 + ... + 8652.

Almost surely, 28221332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11085760).

8221332 is an abundant number, since it is smaller than the sum of its proper divisors (13950188).

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

8221332 is a wasteful number, since it uses less digits than its factorization.

8221332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1118 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 8221332 is about 2867.2865221320. The cubic root of 8221332 is about 201.8276803787.

The spelling of 8221332 in words is "eight million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 582 679 1009 1164 1358 2018 2037 2716 3027 4036 4074 6054 7063 8148 12108 14126 21189 28252 42378 84756 97873 195746 293619 391492 587238 685111 1174476 1370222 2055333 2740444 4110666 8221332