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27223020 = 22335114583
BaseRepresentation
bin110011111011…
…0001111101100
31220020001222000
41213312033230
523432114040
62411252300
7450251256
oct147661754
956201860
1027223020
1114404070
12914a090
135841cc6
143888cd6
1525cb130
hex19f63ec

27223020 has 96 divisors (see below), whose sum is σ = 92413440. Its totient is φ = 6598080.

The previous prime is 27222997. The next prime is 27223037. The reversal of 27223020 is 2032272.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 27222984 and 27223002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3649 + ... + 8231.

It is an arithmetic number, because the mean of its divisors is an integer number (962640).

Almost surely, 227223020 is an apocalyptic number.

27223020 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 27223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46206720).

27223020 is an abundant number, since it is smaller than the sum of its proper divisors (65190420).

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

27223020 is a wasteful number, since it uses less digits than its factorization.

27223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 27223020 is about 5217.5683991683. The cubic root of 27223020 is about 300.8237361258.

Adding to 27223020 its reverse (2032272), we get a palindrome (29255292).

The spelling of 27223020 in words is "twenty-seven million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 4583 5940 9166 13749 18332 22915 27498 41247 45830 50413 54996 68745 82494 91660 100826 123741 137490 151239 164988 201652 206235 247482 252065 274980 302478 412470 453717 494964 504130 604956 618705 756195 824940 907434 1008260 1237410 1361151 1512390 1814868 2268585 2474820 2722302 3024780 4537170 5444604 6805755 9074340 13611510 27223020