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27225220 = 22511472633
BaseRepresentation
bin110011111011…
…0110010000100
31220020011222111
41213312302010
523432201340
62411310404
7450260551
oct147666204
956204874
1027225220
1114405790
12914b404
135842cc9
143889a28
1525cbaea
hex19f6c84

27225220 has 48 divisors (see below), whose sum is σ = 63721728. Its totient is φ = 9685760.

The previous prime is 27225197. The next prime is 27225239. The reversal of 27225220 is 2252272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 27225191 and 27225200.

It is an unprimeable number.

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, 9024 + ... + 11656.

It is an arithmetic number, because the mean of its divisors is an integer number (1327536).

Almost surely, 227225220 is an apocalyptic number.

27225220 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 27225220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31860864).

27225220 is an abundant number, since it is smaller than the sum of its proper divisors (36496508).

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

27225220 is a wasteful number, since it uses less digits than its factorization.

27225220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 27225220 is about 5217.7792210863. The cubic root of 27225220 is about 300.8318394932.

Adding to 27225220 its reverse (2252272), we get a palindrome (29477492).

It can be divided in two parts, 272252 and 20, that added together give a palindrome (272272).

The spelling of 27225220 in words is "twenty-seven million, two hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 2633 5170 5266 10340 10532 13165 26330 28963 52660 57926 115852 123751 144815 247502 289630 495004 579260 618755 1237510 1361261 2475020 2722522 5445044 6806305 13612610 27225220