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222948 = 223211563
BaseRepresentation
bin110110011011100100
3102022211100
4312123210
524113243
64440100
71615665
oct663344
9368740
10222948
11142560
12a9030
137a62b
145b36c
15460d3
hex366e4

222948 has 36 divisors (see below), whose sum is σ = 615888. Its totient is φ = 67440.

The previous prime is 222947. The next prime is 222953. The reversal of 222948 is 849222.

222948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (222941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (17108).

2222948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307944).

222948 is an abundant number, since it is smaller than the sum of its proper divisors (392940).

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

222948 is a wasteful number, since it uses less digits than its factorization.

222948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 579 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 222948 is about 472.1736968532. The cubic root of 222948 is about 60.6365560569.

The spelling of 222948 in words is "two hundred twenty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 563 1126 1689 2252 3378 5067 6193 6756 10134 12386 18579 20268 24772 37158 55737 74316 111474 222948