Search a number
-
+
8822385 = 3351113457
BaseRepresentation
bin100001101001…
…111001110001
3121121020001000
4201221321301
54224304020
6513032213
7134663145
oct41517161
917536030
108822385
114a86430
122b55669
131a9b860
141259225
15b94090
hex869e71

8822385 has 64 divisors (see below), whose sum is σ = 18466560. Its totient is φ = 3939840.

The previous prime is 8822377. The next prime is 8822413. The reversal of 8822385 is 5832288.

8822385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8822385 - 23 = 8822377 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

8822385 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19077 + ... + 19533.

It is an arithmetic number, because the mean of its divisors is an integer number (288540).

Almost surely, 28822385 is an apocalyptic number.

It is an amenable number.

8822385 is an abundant number, since it is smaller than the sum of its proper divisors (9644175).

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

8822385 is a wasteful number, since it uses less digits than its factorization.

8822385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 8822385 is about 2970.2499894790. The cubic root of 8822385 is about 206.6309323694.

The spelling of 8822385 in words is "eight million, eight hundred twenty-two thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 195 297 351 429 457 495 585 715 1287 1371 1485 1755 2145 2285 3861 4113 5027 5941 6435 6855 12339 15081 17823 19305 20565 25135 29705 45243 53469 61695 65351 75405 89115 135729 160407 196053 226215 267345 326755 588159 678645 802035 980265 1764477 2940795 8822385