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228821250 = 2354723379
BaseRepresentation
bin11011010001110…
…00100100000010
3120221120022202010
431220320210002
5432034240000
634412233350
75445643230
oct1550704402
9527508663
10228821250
11108188879
126476b856
13385388b8
1422565950
151514dd50
hexda38902

228821250 has 160 divisors (see below), whose sum is σ = 683781120. Its totient is φ = 49896000.

The previous prime is 228821233. The next prime is 228821267. The reversal of 228821250 is 52128822.

It is an interprime number because it is at equal distance from previous prime (228821233) and next prime (228821267).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 603561 + ... + 603939.

It is an arithmetic number, because the mean of its divisors is an integer number (4273632).

Almost surely, 2228821250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228821250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341890560).

228821250 is an abundant number, since it is smaller than the sum of its proper divisors (454959870).

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

228821250 is a wasteful number, since it uses less digits than its factorization.

228821250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 228821250 is about 15126.8387312088. The cubic root of 228821250 is about 611.6440911944.

The spelling of 228821250 in words is "two hundred twenty-eight million, eight hundred twenty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 50 69 70 75 105 115 125 138 150 161 175 210 230 250 322 345 350 375 379 483 525 575 625 690 750 758 805 875 966 1050 1137 1150 1250 1610 1725 1750 1875 1895 2274 2415 2625 2653 2875 3450 3750 3790 4025 4375 4830 5250 5306 5685 5750 7959 8050 8625 8717 8750 9475 11370 12075 13125 13265 14375 15918 17250 17434 18950 20125 24150 26151 26250 26530 28425 28750 39795 40250 43125 43585 47375 52302 56850 60375 61019 66325 79590 86250 87170 94750 100625 120750 122038 130755 132650 142125 183057 198975 201250 217925 236875 261510 284250 301875 305095 331625 366114 397950 435850 473750 603750 610190 653775 663250 710625 915285 994875 1089625 1307550 1421250 1525475 1658125 1830570 1989750 2179250 3050950 3268875 3316250 4576425 4974375 5448125 6537750 7627375 9152850 9948750 10896250 15254750 16344375 22882125 32688750 38136875 45764250 76273750 114410625 228821250