Search a number
-
+
229577348 = 227211138191
BaseRepresentation
bin11011010111100…
…01001010000100
3120222222201220202
431223301022010
5432232433343
634440350032
75455242500
oct1553611204
9528881822
10229577348
11108654950
1264a75318
1338741ab0
14226c1300
151524cdb8
hexdaf1284

229577348 has 72 divisors (see below), whose sum is σ = 549126144. Its totient is φ = 82555200.

The previous prime is 229577347. The next prime is 229577353. The reversal of 229577348 is 843775922.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (229577347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23933 + ... + 32123.

It is an arithmetic number, because the mean of its divisors is an integer number (7626752).

Almost surely, 2229577348 is an apocalyptic number.

229577348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229577348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274563072).

229577348 is an abundant number, since it is smaller than the sum of its proper divisors (319548796).

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

229577348 is a wasteful number, since it uses less digits than its factorization.

229577348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8224 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The square root of 229577348 is about 15151.8100568876. The cubic root of 229577348 is about 612.3170392305.

The spelling of 229577348 in words is "two hundred twenty-nine million, five hundred seventy-seven thousand, three hundred forty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 8191 14014 16382 28028 32764 57337 90101 106483 114674 180202 212966 229348 360404 401359 425932 630707 745381 802718 1171313 1261414 1490762 1605436 2342626 2522828 2981524 4414949 4685252 5217667 8199191 8829898 10435334 16398382 17659796 20870668 32796764 57394337 114788674 229577348