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21117220 = 22523291583
BaseRepresentation
bin101000010001…
…1100100100100
31110201212101021
41100203210210
520401222340
62032340524
7344331145
oct120434444
943655337
1021117220
1110a13753
1270a4744
1344b4ac7
142b39acc
151cc1e4a
hex1423924

21117220 has 48 divisors (see below), whose sum is σ = 47900160. Its totient is φ = 7796096.

The previous prime is 21117209. The next prime is 21117223. The reversal of 21117220 is 2271112.

It is a junction number, because it is equal to n+sod(n) for n = 21117194 and 21117203.

It is not an unprimeable number, because it can be changed into a prime (21117223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12549 + ... + 14131.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 221117220 is an apocalyptic number.

21117220 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 21117220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

21117220 is an abundant number, since it is smaller than the sum of its proper divisors (26782940).

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

21117220 is a wasteful number, since it uses less digits than its factorization.

21117220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 21117220 is about 4595.3476473494. The cubic root of 21117220 is about 276.4048005265.

Adding to 21117220 its reverse (2271112), we get a palindrome (23388332).

The spelling of 21117220 in words is "twenty-one million, one hundred seventeen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 1583 2668 3166 3335 6332 6670 7915 13340 15830 31660 36409 45907 72818 91814 145636 182045 183628 229535 364090 459070 728180 918140 1055861 2111722 4223444 5279305 10558610 21117220