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216222350034100 = 2252257349208711551
BaseRepresentation
bin110001001010011100110000…
…010111011100010010110100
31001100120122200100012220210011
4301022130300113130102310
5211320041333102042400
62043511102030310004
763354356254414504
oct6112346027342264
91040518610186704
10216222350034100
1162993424764383
122030140b658304
1393858ac2b3bb7
143b5730907da04
1519ee68d6118ba
hexc4a7305dc4b4

216222350034100 has 144 divisors (see below), whose sum is σ = 472645098777600. Its totient is φ = 85856956416000.

The previous prime is 216222350034079. The next prime is 216222350034107. The reversal of 216222350034100 is 1430053222612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216222350034107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18718923325 + ... + 18718934875.

It is an arithmetic number, because the mean of its divisors is an integer number (3282257630400).

Almost surely, 2216222350034100 is an apocalyptic number.

216222350034100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216222350034100 is an abundant number, since it is smaller than the sum of its proper divisors (256422748743500).

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

216222350034100 is a wasteful number, since it uses less digits than its factorization.

216222350034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14258 (or 14251 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 216222350034100 in words is "two hundred sixteen trillion, two hundred twenty-two billion, three hundred fifty million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 257 349 514 698 1028 1285 1396 1745 2087 2570 3490 4174 5140 6425 6980 8348 8725 10435 11551 12850 17450 20870 23102 25700 34900 41740 46204 52175 57755 89693 104350 115510 179386 208700 231020 288775 358772 448465 536359 577550 728363 896930 1072718 1155100 1456726 1793860 2145436 2242325 2681795 2913452 2968607 3641815 4031299 4484650 5363590 5937214 7283630 8062598 8969300 10727180 11874428 13408975 14567260 14843035 16125196 18209075 20156495 24106937 26817950 29686070 36418150 40312990 48213874 53635900 59372140 72836300 74215175 80625980 96427748 100782475 120534685 148430350 187189291 201564950 241069370 296860700 374378582 403129900 482138740 602673425 748757164 935946455 1036043843 1205346850 1871892910 2072087686 2410693700 3743785820 4144175372 4679732275 5180219215 6195482809 8413321013 9359464550 10360438430 12390965618 16826642026 18718929100 20720876860 24781931236 25901096075 30977414045 33653284052 42066605065 51802192150 61954828090 84133210130 103604384300 123909656180 154887070225 168266420260 210333025325 309774140450 420666050650 619548280900 841332101300 2162223500341 4324447000682 8648894001364 10811117501705 21622235003410 43244470006820 54055587508525 108111175017050 216222350034100