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11228805 = 325743829
BaseRepresentation
bin101010110101…
…011010000101
3210010111000200
4222311122011
510333310210
61040401113
7164305020
oct52653205
923114020
1011228805
11637a405
123916199
132431c83
1416c41b7
15ebc0c0
hexab5685

11228805 has 48 divisors (see below), whose sum is σ = 22788480. Its totient is φ = 5007744.

The previous prime is 11228779. The next prime is 11228831. The reversal of 11228805 is 50882211.

11228805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11228779) and next prime (11228831).

It is not a de Polignac number, because 11228805 - 210 = 11227781 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13131 + ... + 13959.

It is an arithmetic number, because the mean of its divisors is an integer number (474760).

Almost surely, 211228805 is an apocalyptic number.

11228805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11228805 is the 1935-th octagonal number.

It is an amenable number.

11228805 is an abundant number, since it is smaller than the sum of its proper divisors (11559675).

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

11228805 is a wasteful number, since it uses less digits than its factorization.

11228805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 887 counting only the distinct ones).

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

The square root of 11228805 is about 3350.9409126393. The cubic root of 11228805 is about 223.9294327565.

The spelling of 11228805 in words is "eleven million, two hundred twenty-eight thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 645 829 903 1505 1935 2487 2709 4145 4515 5803 7461 12435 13545 17409 29015 35647 37305 52227 87045 106941 178235 249529 261135 320823 534705 748587 1247645 1604115 2245761 3742935 11228805