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228140346 = 237311371279
BaseRepresentation
bin11011001100100…
…10010100111010
3120220021201201110
431212102110322
5431400442341
634345501150
75440106130
oct1546222472
9526251643
10228140346
11107863245
12644a17b6
133835a9b5
1422429750
1515067216
hexd99253a

228140346 has 64 divisors (see below), whose sum is σ = 542638080. Its totient is φ = 62570880.

The previous prime is 228140309. The next prime is 228140351. The reversal of 228140346 is 643041822.

228140346 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177735 + ... + 179013.

It is an arithmetic number, because the mean of its divisors is an integer number (8478720).

Almost surely, 2228140346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228140346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271319040).

228140346 is an abundant number, since it is smaller than the sum of its proper divisors (314497734).

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

228140346 is a wasteful number, since it uses less digits than its factorization.

228140346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 228140346 is about 15104.3154760486. The cubic root of 228140346 is about 611.0367981066.

The spelling of 228140346 in words is "two hundred twenty-eight million, one hundred forty thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 137 186 217 274 411 434 651 822 959 1279 1302 1918 2558 2877 3837 4247 5754 7674 8494 8953 12741 17906 25482 26859 29729 39649 53718 59458 79298 89187 118947 175223 178374 237894 277543 350446 525669 555086 832629 1051338 1226561 1665258 2453122 3679683 5431913 7359366 10863826 16295739 32591478 38023391 76046782 114070173 228140346