Search a number
-
+
378222 = 23132373
BaseRepresentation
bin1011100010101101110
3201012211020
41130111232
544100342
612035010
73133455
oct1342556
9635736
10378222
11239189
12162a66
13103200
149bb9c
15770ec
hex5c56e

378222 has 24 divisors (see below), whose sum is σ = 821304. Its totient is φ = 116064.

The previous prime is 378193. The next prime is 378223. The reversal of 378222 is 222873.

378222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 378192 and 378201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378223) by changing a digit.

378222 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 828 + ... + 1200.

It is an arithmetic number, because the mean of its divisors is an integer number (34221).

2378222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410652).

378222 is an abundant number, since it is smaller than the sum of its proper divisors (443082).

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

378222 is a wasteful number, since it uses less digits than its factorization.

378222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 378222 is about 614.9975609708. The cubic root of 378222 is about 72.3184199589.

The spelling of 378222 in words is "three hundred seventy-eight thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 169 338 373 507 746 1014 1119 2238 4849 9698 14547 29094 63037 126074 189111 378222