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27720225 = 3852132
BaseRepresentation
bin110100110111…
…1101000100001
31221011100000000
41221233220201
524044021400
62430050213
7454421661
oct151575041
957140000
1027720225
1114713685
129349969
135987400
1439781a1
152678600
hex1a6fa21

27720225 has 81 divisors (see below), whose sum is σ = 55827993. Its totient is φ = 13646880.

The previous prime is 27720211. The next prime is 27720233. The reversal of 27720225 is 52202772.

It is a happy number.

The square root of 27720225 is 5265.

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 7144929 + 20575296 = 2673^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 27720225 - 25 = 27720193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 80 ways as a sum of consecutive naturals, for example, 2132319 + ... + 2132331.

Almost surely, 227720225 is an apocalyptic number.

27720225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27720225 is the 5265-th square number.

27720225 is the 2633-rd centered octagonal number.

It is an amenable number.

27720225 is an abundant number, since it is smaller than the sum of its proper divisors (28107768).

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

27720225 is an frugal number, since it uses more digits than its factorization.

27720225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The cubic root of 27720225 is about 302.6441268435.

Adding to 27720225 its reverse (52202772), we get a palindrome (79922997).

It can be divided in two parts, 277 and 20225, that added together give a palindrome (20502).

The spelling of 27720225 in words is "twenty-seven million, seven hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 169 195 225 243 325 351 405 507 585 675 729 845 975 1053 1215 1521 1755 2025 2187 2535 2925 3159 3645 4225 4563 5265 6075 6561 7605 8775 9477 10935 12675 13689 15795 18225 22815 26325 28431 32805 38025 41067 47385 54675 68445 78975 85293 114075 123201 142155 164025 205335 236925 342225 369603 426465 616005 710775 1026675 1108809 1848015 2132325 3080025 5544045 9240075 27720225