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833228268 = 2232315119993
BaseRepresentation
bin110001101010100…
…000110111101100
32011001212101022020
4301222200313230
53201301301033
6214402550140
726435215635
oct6152406754
92131771266
10833228268
11398376804
121b3068350
131038183a2
147c93888c
154d23c6b3
hex31aa0dec

833228268 has 48 divisors (see below), whose sum is σ = 2042267136. Its totient is φ = 263894400.

The previous prime is 833228257. The next prime is 833228269. The reversal of 833228268 is 862822338.

833228268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (833228269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31680 + ... + 51672.

It is an arithmetic number, because the mean of its divisors is an integer number (42547232).

Almost surely, 2833228268 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 833228268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021133568).

833228268 is an abundant number, since it is smaller than the sum of its proper divisors (1209038868).

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

833228268 is a wasteful number, since it uses less digits than its factorization.

833228268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20174 (or 20172 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 833228268 is about 28865.6936171643. The cubic root of 833228268 is about 940.9964791132.

The spelling of 833228268 in words is "eight hundred thirty-three million, two hundred twenty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 151 276 302 453 604 906 1812 3473 6946 10419 13892 19993 20838 39986 41676 59979 79972 119958 239916 459839 919678 1379517 1839356 2759034 3018943 5518068 6037886 9056829 12075772 18113658 36227316 69435689 138871378 208307067 277742756 416614134 833228268