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21828216 = 2333129339
BaseRepresentation
bin101001101000…
…1001001111000
31112001222200110
41103101021320
521042000331
62055504320
7353352054
oct123211170
945058613
1021828216
1111359953
1273880a0
1346a3607
142c82c64
151db2946
hex14d1278

21828216 has 32 divisors (see below), whose sum is σ = 56332800. Its totient is φ = 7041120.

The previous prime is 21828199. The next prime is 21828217. The reversal of 21828216 is 61282812.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21828217) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13926 + ... + 15413.

It is an arithmetic number, because the mean of its divisors is an integer number (1760400).

Almost surely, 221828216 is an apocalyptic number.

It is an amenable number.

21828216 is an abundant number, since it is smaller than the sum of its proper divisors (34504584).

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

21828216 is a wasteful number, since it uses less digits than its factorization.

21828216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29379 (or 29375 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 21828216 is about 4672.0676364967. The cubic root of 21828216 is about 279.4727151444.

The spelling of 21828216 in words is "twenty-one million, eight hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 29339 58678 88017 117356 176034 234712 352068 704136 909509 1819018 2728527 3638036 5457054 7276072 10914108 21828216