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2212001332200 = 23325211111717239
BaseRepresentation
bin100000001100000101100…
…011011011101111101000
321211110120011202101020200
4200030011203123233220
5242220134320112300
64412102425152200
7315545312044542
oct40140543335750
97743504671220
102212001332200
117831170a3550
122b884a92b660
1313078b09353a
14790c0818692
153c814d87200
hex203058dbbe8

2212001332200 has 144 divisors (see below), whose sum is σ = 8103968589600. Its totient is φ = 536242742400.

The previous prime is 2212001332199. The next prime is 2212001332213. The reversal of 2212001332200 is 22331002122.

2212001332200 is a `hidden beast` number, since 221 + 200 + 13 + 32 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 55838820 + ... + 55878419.

It is an arithmetic number, because the mean of its divisors is an integer number (56277559650).

Almost surely, 22212001332200 is an apocalyptic number.

2212001332200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212001332200 is an abundant number, since it is smaller than the sum of its proper divisors (5891967257400).

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

2212001332200 is a wasteful number, since it uses less digits than its factorization.

2212001332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111717272 (or 111717260 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2212001332200 its reverse (22331002122), we get a palindrome (2234332334322).

The spelling of 2212001332200 in words is "two trillion, two hundred twelve billion, one million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 111717239 223434478 335151717 446868956 558586195 670303434 893737912 1005455151 1117172390 1228889629 1340606868 1675758585 2010910302 2234344780 2457779258 2681213736 2792930975 3351517170 3686668887 4021820604 4468689560 4915558516 5027275755 5585861950 6144448145 6703034340 7373337774 8043641208 8378792925 9831117032 10054551510 11060006661 11171723900 12288896290 13406068680 14746675548 16757585850 18433344435 20109103020 22120013322 22343447800 24577792580 25136378775 29493351096 30722240725 33515171700 36866688870 40218206040 44240026644 49155585160 50272757550 55300033305 61444481450 67030343400 73733377740 88480053288 92166722175 100545515100 110600066610 122888962900 147466755480 184333444350 201091030200 221200133220 245777925800 276500166525 368666888700 442400266440 553000333050 737333777400 1106000666100 2212001332200