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38226000 = 2435323277
BaseRepresentation
bin1001000111010…
…0100001010000
32122221002012210
42101310201100
534241213000
63443152120
7642626031
oct221644120
978832183
1038226000
111a63983a
1210975640
137bc5247
145110a88
153551350
hex2474850

38226000 has 160 divisors (see below), whose sum is σ = 129063168. Its totient is φ = 9715200.

The previous prime is 38225983. The next prime is 38226029. The reversal of 38226000 is 62283.

It is a super-2 number, since 2×382260002 = 2922454152000000, which contains 22 as substring.

It is a congruent number.

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, 137862 + ... + 138138.

Almost surely, 238226000 is an apocalyptic number.

38226000 is a gapful number since it is divisible by the number (30) 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 38226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64531584).

38226000 is an abundant number, since it is smaller than the sum of its proper divisors (90837168).

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

38226000 is a wasteful number, since it uses less digits than its factorization.

38226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 38226000 is about 6182.7178489722. The cubic root of 38226000 is about 336.8627206064.

Adding to 38226000 its reverse (62283), we get a palindrome (38288283).

The spelling of 38226000 in words is "thirty-eight million, two hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 277 300 345 368 375 400 460 500 552 554 575 600 690 750 831 920 1000 1104 1108 1150 1200 1380 1385 1500 1662 1725 1840 2000 2216 2300 2760 2770 2875 3000 3324 3450 4155 4432 4600 5520 5540 5750 6000 6371 6648 6900 6925 8310 8625 9200 11080 11500 12742 13296 13800 13850 16620 17250 19113 20775 22160 23000 25484 27600 27700 31855 33240 34500 34625 38226 41550 46000 50968 55400 63710 66480 69000 69250 76452 83100 95565 101936 103875 110800 127420 138000 138500 152904 159275 166200 191130 207750 254840 277000 305808 318550 332400 382260 415500 477825 509680 554000 637100 764520 796375 831000 955650 1274200 1529040 1592750 1662000 1911300 2389125 2548400 3185500 3822600 4778250 6371000 7645200 9556500 12742000 19113000 38226000