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27220050225 = 32521726472
BaseRepresentation
bin11001010110011100…
…010000000100110001
32121021000022211012100
4121112130100010301
5421221313101400
620301004051013
71652352416004
oct312634200461
977230284170
1027220050225
11105a9010685
125337b33a69
13274a4680c4
14146316353b
15a94a50100
hex656710131

27220050225 has 81 divisors (see below), whose sum is σ = 51870895297. Its totient is φ = 13642279680.

The previous prime is 27220050217. The next prime is 27220050241. The reversal of 27220050225 is 52205002272.

The square root of 27220050225 is 164985.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 636704289 + 26583345936 = 25233^2 + 163044^2 .

It is not a de Polignac number, because 27220050225 - 23 = 27220050217 is a prime.

It is a super-2 number, since 2×272200502252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42070852 + ... + 42071498.

Almost surely, 227220050225 is an apocalyptic number.

27220050225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27220050225 is the 164985-th square number.

27220050225 is the 82493-rd centered octagonal number.

It is an amenable number.

27220050225 is a deficient number, since it is larger than the sum of its proper divisors (24650845072).

27220050225 is an equidigital number, since it uses as much as digits as its factorization.

27220050225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

Adding to 27220050225 its reverse (52205002272), we get a palindrome (79425052497).

The spelling of 27220050225 in words is "twenty-seven billion, two hundred twenty million, fifty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 289 425 647 765 867 1275 1445 1941 2601 3235 3825 4335 5823 7225 9705 10999 13005 16175 21675 29115 32997 48525 54995 65025 98991 145575 164985 186983 274975 418609 494955 560949 824925 934915 1255827 1682847 2093045 2474775 2804745 3767481 4674575 6279135 7116353 8414235 10465225 14023725 18837405 21349059 31395675 35581765 42071175 64047177 94187025 106745295 120978001 177908825 320235885 362934003 533726475 604890005 1088802009 1601179425 1814670015 3024450025 5444010045 9073350075 27220050225