Search a number
-
+
224590806 = 2351143977
BaseRepresentation
bin11010110001011…
…11101111010110
3120122121101200000
431120233233112
5424443401211
634141432130
75364663456
oct1530575726
9518541600
10224590806
11105859440
126326b646
13376b718b
1421b83d66
1514ab5656
hexd62fbd6

224590806 has 96 divisors (see below), whose sum is σ = 563891328. Its totient is φ = 66407040.

The previous prime is 224590801. The next prime is 224590823. The reversal of 224590806 is 608095422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224590801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229390 + ... + 230366.

It is an arithmetic number, because the mean of its divisors is an integer number (5873868).

Almost surely, 2224590806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224590806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281945664).

224590806 is an abundant number, since it is smaller than the sum of its proper divisors (339300522).

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

224590806 is a wasteful number, since it uses less digits than its factorization.

224590806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 224590806 is about 14986.3539928830. The cubic root of 224590806 is about 607.8512646190.

The spelling of 224590806 in words is "two hundred twenty-four million, five hundred ninety thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 81 86 99 129 162 198 243 258 297 387 473 486 594 774 891 946 977 1161 1419 1782 1954 2322 2673 2838 2931 3483 4257 5346 5862 6966 8514 8793 10449 10747 12771 17586 20898 21494 25542 26379 32241 38313 42011 52758 64482 76626 79137 84022 96723 114939 126033 158274 193446 229878 237411 252066 290169 378099 462121 474822 580338 756198 870507 924242 1134297 1386363 1741014 2268594 2611521 2772726 3402891 4159089 5223042 6805782 8318178 10208673 12477267 20417346 24954534 37431801 74863602 112295403 224590806