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228339000 = 2334532819
BaseRepresentation
bin11011001110000…
…10110100111000
3120220122211020000
431213002310320
5431423322000
634354033000
75441564241
oct1547026470
9526584200
10228339000
1110798951a
1264578760
13383ca246
142247bcc8
15150a6000
hexd9c2d38

228339000 has 160 divisors (see below), whose sum is σ = 798454800. Its totient is φ = 60868800.

The previous prime is 228338969. The next prime is 228339047. The reversal of 228339000 is 933822.

228339000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79591 + ... + 82409.

Almost surely, 2228339000 is an apocalyptic number.

228339000 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 228339000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399227400).

228339000 is an abundant number, since it is smaller than the sum of its proper divisors (570115800).

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

228339000 is a wasteful number, since it uses less digits than its factorization.

228339000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 228339000 is about 15110.8901127630. The cubic root of 228339000 is about 611.2141007935.

The spelling of 228339000 in words is "two hundred twenty-eight million, three hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 2819 3000 3240 3375 4050 4500 5400 5638 6750 8100 8457 9000 10125 11276 13500 14095 16200 16914 20250 22552 25371 27000 28190 33828 40500 42285 50742 56380 67656 70475 76113 81000 84570 101484 112760 126855 140950 152226 169140 202968 211425 228339 253710 281900 304452 338280 352375 380565 422850 456678 507420 563800 608904 634275 704750 761130 845700 913356 1014840 1057125 1141695 1268550 1409500 1522260 1691400 1826712 1902825 2114250 2283390 2537100 2819000 3044520 3171375 3805650 4228500 4566780 5074200 5708475 6342750 7611300 8457000 9133560 9514125 11416950 12685500 15222600 19028250 22833900 25371000 28542375 38056500 45667800 57084750 76113000 114169500 228339000