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21720220 = 22517193331
BaseRepresentation
bin101001011011…
…0110010011100
31111212111112121
41102312302130
521030021340
62053312324
7352422154
oct122666234
944774477
1021720220
11112957a5
1273356a4
134666402
142c55764
151d9094a
hex14b6c9c

21720220 has 48 divisors (see below), whose sum is σ = 48692448. Its totient is φ = 8110080.

The previous prime is 21720197. The next prime is 21720229. The reversal of 21720220 is 2202712.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 21720194 and 21720203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21720229) 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, 65455 + ... + 65785.

It is an arithmetic number, because the mean of its divisors is an integer number (1014426).

Almost surely, 221720220 is an apocalyptic number.

21720220 is a gapful number since it is divisible by the number (20) 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 21720220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24346224).

21720220 is an abundant number, since it is smaller than the sum of its proper divisors (26972228).

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

21720220 is a wasteful number, since it uses less digits than its factorization.

21720220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 21720220 is about 4660.4956817918. The cubic root of 21720220 is about 279.0110520067.

Adding to 21720220 its reverse (2202712), we get a palindrome (23922932).

The spelling of 21720220 in words is "twenty-one million, seven hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 193 331 340 386 662 772 965 1324 1655 1930 3281 3310 3860 5627 6562 6620 11254 13124 16405 22508 28135 32810 56270 63883 65620 112540 127766 255532 319415 638830 1086011 1277660 2172022 4344044 5430055 10860110 21720220