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322000230 = 235172397283
BaseRepresentation
bin10011001100010…
…101010101100110
3211102220022021110
4103030111111212
51124413001410
651541325450
710656646116
oct2314252546
9742808243
10322000230
111558405a2
128ba06886
13519317a6
1430a9d046
151d407720
hex13315566

322000230 has 128 divisors (see below), whose sum is σ = 865686528. Its totient is φ = 76234752.

The previous prime is 322000219. The next prime is 322000319. The reversal of 322000230 is 32000223.

It is a super-3 number, since 3×3220002303 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1137669 + ... + 1137951.

It is an arithmetic number, because the mean of its divisors is an integer number (6763176).

Almost surely, 2322000230 is an apocalyptic number.

322000230 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 322000230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432843264).

322000230 is an abundant number, since it is smaller than the sum of its proper divisors (543686298).

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

322000230 is a wasteful number, since it uses less digits than its factorization.

322000230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430.

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 322000230 is about 17944.3648536247. The cubic root of 322000230 is about 685.4125633767.

Adding to 322000230 its reverse (32000223), we get a palindrome (354000453).

The spelling of 322000230 in words is "three hundred twenty-two million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 97 102 115 138 170 194 230 255 283 291 345 391 485 510 566 582 690 782 849 970 1173 1415 1455 1649 1698 1955 2231 2346 2830 2910 3298 3910 4245 4462 4811 4947 5865 6509 6693 8245 8490 9622 9894 11155 11730 13018 13386 14433 16490 19527 22310 24055 24735 27451 28866 32545 33465 37927 39054 48110 49470 54902 65090 66930 72165 75854 82353 97635 110653 113781 137255 144330 164706 189635 195270 221306 227562 274510 331959 379270 411765 466667 553265 568905 631373 663918 823530 933334 1106530 1137810 1262746 1400001 1659795 1894119 2333335 2800002 3156865 3319590 3788238 4666670 6313730 7000005 9470595 10733341 14000010 18941190 21466682 32200023 53666705 64400046 107333410 161000115 322000230