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11808225 = 32521113367
BaseRepresentation
bin101101000010…
…110111100001
3211012220211200
4231002313201
511010330400
61101031413
7202240212
oct55026741
924186750
1011808225
116735770
123b55569
1325a5920
1417d5409
151083b00
hexb42de1

11808225 has 72 divisors (see below), whose sum is σ = 24915072. Its totient is φ = 5270400.

The previous prime is 11808221. The next prime is 11808227. The reversal of 11808225 is 52280811.

11808225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11808225 - 22 = 11808221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11808221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31992 + ... + 32358.

Almost surely, 211808225 is an apocalyptic number.

11808225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11808225 is an abundant number, since it is smaller than the sum of its proper divisors (13106847).

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

11808225 is a wasteful number, since it uses less digits than its factorization.

11808225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11808225 is about 3436.3097939505. The cubic root of 11808225 is about 227.7166956755.

The spelling of 11808225 in words is "eleven million, eight hundred eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 143 165 195 225 275 325 367 429 495 585 715 825 975 1101 1287 1835 2145 2475 2925 3303 3575 4037 4771 5505 6435 9175 10725 12111 14313 16515 20185 23855 27525 32175 36333 42939 52481 60555 71565 82575 100925 119275 157443 181665 214695 262405 302775 357825 472329 787215 908325 1073475 1312025 2361645 3936075 11808225