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228909340 = 2251119232381
BaseRepresentation
bin11011010010011…
…10000100011100
3120221201210120201
431221032010130
5432100044330
634414153244
75446461112
oct1551160434
9527653521
10228909340
11108238a80
12647b2824
1338569a1a
1422589ab2
1515169eca
hexda4e11c

228909340 has 96 divisors (see below), whose sum is σ = 576253440. Its totient is φ = 75398400.

The previous prime is 228909323. The next prime is 228909341. The reversal of 228909340 is 43909822.

It is a self number, because there is not a number n which added to its sum of digits gives 228909340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228909341) 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 31 ways as a sum of consecutive naturals, for example, 94950 + ... + 97330.

It is an arithmetic number, because the mean of its divisors is an integer number (6002640).

Almost surely, 2228909340 is an apocalyptic number.

228909340 is a gapful number since it is divisible by the number (20) 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 228909340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288126720).

228909340 is an abundant number, since it is smaller than the sum of its proper divisors (347344100).

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

228909340 is a wasteful number, since it uses less digits than its factorization.

228909340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 228909340 is about 15129.7501631719. The cubic root of 228909340 is about 611.7225699421.

The spelling of 228909340 in words is "two hundred twenty-eight million, nine hundred nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 190 209 220 230 253 380 418 437 460 506 836 874 1012 1045 1265 1748 2090 2185 2381 2530 4180 4370 4762 4807 5060 8740 9524 9614 11905 19228 23810 24035 26191 45239 47620 48070 52382 54763 90478 96140 104764 109526 130955 180956 219052 226195 261910 273815 452390 497629 523820 547630 602393 904780 995258 1040497 1095260 1204786 1990516 2080994 2409572 2488145 3011965 4161988 4976290 5202485 6023930 9952580 10404970 11445467 12047860 20809940 22890934 45781868 57227335 114454670 228909340