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232000221222300 = 223522340982208363
BaseRepresentation
bin110100110000000011000010…
…110001100001010110011100
31010102110000010022102220222010
4310300003002301201112130
5220402042423113103200
62141231232535151220
766603314520616056
oct6460030261412634
91112400108386863
10232000221222300
1167a16817712833
122202b244815510
139c5b6b0a3a35b
144140c28da88d6
151bc4cd1493150
hexd300c2c6159c

232000221222300 has 144 divisors (see below), whose sum is σ = 702151501927680. Its totient is φ = 59032180584960.

The previous prime is 232000221222283. The next prime is 232000221222313. The reversal of 232000221222300 is 3222122000232.

It is a super-2 number, since 2×2320002212223002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38282082 + ... + 43926281.

It is an arithmetic number, because the mean of its divisors is an integer number (4876052096720).

Almost surely, 2232000221222300 is an apocalyptic number.

232000221222300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232000221222300 is an abundant number, since it is smaller than the sum of its proper divisors (470151280705380).

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

232000221222300 is a wasteful number, since it uses less digits than its factorization.

232000221222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82208812 (or 82208805 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 232000221222300 its reverse (3222122000232), we get a palindrome (235222343222532).

The spelling of 232000221222300 in words is "two hundred thirty-two trillion, two hundred twenty-one million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 409 460 575 690 818 1150 1227 1380 1636 1725 2045 2300 2454 3450 4090 4908 6135 6900 8180 9407 10225 12270 18814 20450 24540 28221 30675 37628 40900 47035 56442 61350 94070 112884 122700 141105 188140 235175 282210 470350 564420 705525 940700 1411050 2822100 82208363 164416726 246625089 328833452 411041815 493250178 822083630 986500356 1233125445 1644167260 1890792349 2055209075 2466250890 3781584698 4110418150 4932501780 5672377047 6165627225 7563169396 8220836300 9453961745 11344754094 12331254450 18907923490 22689508188 24662508900 28361885235 33623220467 37815846980 47269808725 56723770470 67246440934 94539617450 100869661401 113447540940 134492881868 141809426175 168116102335 189079234900 201739322802 283618852350 336232204670 403478645604 504348307005 567237704700 672464409340 773334070741 840580511675 1008696614010 1546668141482 1681161023350 2017393228020 2320002212223 2521741535025 3093336282964 3362322046700 3866670353705 4640004424446 5043483070050 7733340707410 9280008848892 10086966140100 11600011061115 15466681414820 19333351768525 23200022122230 38666703537050 46400044244460 58000055305575 77333407074100 116000110611150 232000221222300