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229280148 = 22322927573
BaseRepresentation
bin11011010101010…
…00100110010100
3120222102122020100
431222220212110
5432143431043
634430134100
75452564146
oct1552504624
9528378210
10229280148
11108471629
1264951330
1338669736
1422644c96
15151decd3
hexdaa8994

229280148 has 54 divisors (see below), whose sum is σ = 600322814. Its totient is φ = 73781568.

The previous prime is 229280111. The next prime is 229280153. The reversal of 229280148 is 841082922.

It can be written as a sum of positive squares in 3 ways, for example, as 114961284 + 114318864 = 10722^2 + 10692^2 .

It is a super-3 number, since 3×2292801483 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 26490 + ... + 34062.

Almost surely, 2229280148 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 229280148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300161407).

229280148 is an abundant number, since it is smaller than the sum of its proper divisors (371042666).

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

229280148 is a wasteful number, since it uses less digits than its factorization.

229280148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641 (or 7607 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 229280148 is about 15141.9994716682. Note that the first 3 decimals coincide. The cubic root of 229280148 is about 612.0526995501.

The spelling of 229280148 in words is "two hundred twenty-nine million, two hundred eighty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 5046 7569 7573 10092 15138 15146 22719 30276 30292 45438 68157 90876 136314 219617 272628 439234 658851 878468 1317702 1976553 2635404 3953106 6368893 7906212 12737786 19106679 25475572 38213358 57320037 76426716 114640074 229280148