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383223690 = 233517292879
BaseRepresentation
bin10110110101111…
…000011110001010
3222201002210002000
4112311320132022
51241101124230
6102005451430
712332230143
oct2665703612
9881083060
10383223690
111873576a3
12a8410b76
13615195a5
1438c78aca
152399cb60
hex16d7878a

383223690 has 128 divisors (see below), whose sum is σ = 1119744000. Its totient is φ = 92832768.

The previous prime is 383223671. The next prime is 383223691. The reversal of 383223690 is 96322383.

It is a super-2 number, since 2×3832236902 = 293720793154432200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (383223691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131671 + ... + 134549.

It is an arithmetic number, because the mean of its divisors is an integer number (8748000).

Almost surely, 2383223690 is an apocalyptic number.

383223690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 383223690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559872000).

383223690 is an abundant number, since it is smaller than the sum of its proper divisors (736520310).

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

383223690 is a wasteful number, since it uses less digits than its factorization.

383223690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 383223690 is about 19576.0999690950. The cubic root of 383223690 is about 726.3580980478.

The spelling of 383223690 in words is "three hundred eighty-three million, two hundred twenty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 29 30 34 45 51 54 58 85 87 90 102 135 145 153 170 174 255 261 270 290 306 435 459 493 510 522 765 783 870 918 986 1305 1479 1530 1566 2295 2465 2610 2879 2958 3915 4437 4590 4930 5758 7395 7830 8637 8874 13311 14395 14790 17274 22185 25911 26622 28790 43185 44370 48943 51822 66555 77733 83491 86370 97886 129555 133110 146829 155466 166982 244715 250473 259110 293658 388665 417455 440487 489430 500946 734145 751419 777330 834910 880974 1252365 1321461 1419347 1468290 1502838 2202435 2254257 2504730 2642922 2838694 3757095 4258041 4404870 4508514 6607305 7096735 7514190 8516082 11271285 12774123 13214610 14193470 21290205 22542570 25548246 38322369 42580410 63870615 76644738 127741230 191611845 383223690