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12205520 = 245295261
BaseRepresentation
bin101110100011…
…110111010000
3211222002211022
4232203313100
511111034040
61113335012
7205513415
oct56436720
924862738
1012205520
116987208
124107468
1326b4702
14189a10c
1511116b5
hexba3dd0

12205520 has 40 divisors (see below), whose sum is σ = 29361960. Its totient is φ = 4712960.

The previous prime is 12205511. The next prime is 12205553. The reversal of 12205520 is 2550221.

It can be written as a sum of positive squares in 4 ways, for example, as 2421136 + 9784384 = 1556^2 + 3128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 311 + ... + 4950.

It is an arithmetic number, because the mean of its divisors is an integer number (734049).

Almost surely, 212205520 is an apocalyptic number.

12205520 is a gapful number since it is divisible by the number (10) 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 12205520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680980).

12205520 is an abundant number, since it is smaller than the sum of its proper divisors (17156440).

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

12205520 is a wasteful number, since it uses less digits than its factorization.

12205520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 12205520 is about 3493.6399356545. The cubic root of 12205520 is about 230.2424664188.

Adding to 12205520 its reverse (2550221), we get a palindrome (14755741).

The spelling of 12205520 in words is "twelve million, two hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 5261 10522 21044 26305 42088 52610 84176 105220 152569 210440 305138 420880 610276 762845 1220552 1525690 2441104 3051380 6102760 12205520