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12255606 = 23211217331
BaseRepresentation
bin101110110000…
…000101110110
3212001122112100
4232300011312
511114134411
61114402530
7206112426
oct56600566
925048470
1012255606
116a10900
124130446
13270144c
1418b0486
151121456
hexbb0176

12255606 has 72 divisors (see below), whose sum is σ = 30997512. Its totient is φ = 3484800.

The previous prime is 12255599. The next prime is 12255631. The reversal of 12255606 is 60655221.

12255606 is a `hidden beast` number, since 1 + 2 + 2 + 55 + 606 = 666.

12255606 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 a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12255606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36861 + ... + 37191.

It is an arithmetic number, because the mean of its divisors is an integer number (430521).

Almost surely, 212255606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12255606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15498756).

12255606 is an abundant number, since it is smaller than the sum of its proper divisors (18741906).

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

12255606 is a wasteful number, since it uses less digits than its factorization.

12255606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 12255606 is about 3500.8007655392. The cubic root of 12255606 is about 230.5569740100.

The spelling of 12255606 in words is "twelve million, two hundred fifty-five thousand, six hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 331 363 374 561 662 726 993 1089 1122 1683 1986 2057 2178 2979 3366 3641 4114 5627 5958 6171 7282 10923 11254 12342 16881 18513 21846 32769 33762 37026 40051 50643 61897 65538 80102 101286 120153 123794 185691 240306 360459 371382 557073 680867 720918 1114146 1361734 2042601 4085202 6127803 12255606