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212210223233140 = 2251147101203200321
BaseRepresentation
bin110000010000000100001010…
…111110010011100001110100
31000211101002200022210220021201
4300100010022332103201310
5210303323014121430030
62031200010345022244
762461453105326466
oct6020041276234164
91024332608726251
10212210223233140
1161686939784760
121b97391a484984
139154451cb82c2
143a5905b356136
15198011cbda2ca
hexc1010af93874

212210223233140 has 96 divisors (see below), whose sum is σ = 501413863362048. Its totient is φ = 74777717760000.

The previous prime is 212210223233123. The next prime is 212210223233201. The reversal of 212210223233140 is 41332322012212.

It is a happy number.

It is a super-4 number, since 4×2122102232331404 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 212210223233099 and 212210223233108.

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 31 ways as a sum of consecutive naturals, for example, 100555821 + ... + 102644500.

It is an arithmetic number, because the mean of its divisors is an integer number (5223061076688).

Almost surely, 2212210223233140 is an apocalyptic number.

212210223233140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210223233140 is an abundant number, since it is smaller than the sum of its proper divisors (289203640128908).

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

212210223233140 is a wasteful number, since it uses less digits than its factorization.

212210223233140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203200489 (or 203200487 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 212210223233140 its reverse (41332322012212), we get a palindrome (253542545245352).

The spelling of 212210223233140 in words is "two hundred twelve trillion, two hundred ten billion, two hundred twenty-three million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 101 110 188 202 220 235 404 470 505 517 940 1010 1034 1111 2020 2068 2222 2585 4444 4747 5170 5555 9494 10340 11110 18988 22220 23735 47470 52217 94940 104434 208868 261085 522170 1044340 203200321 406400642 812801284 1016001605 2032003210 2235203531 4064006420 4470407062 8940814124 9550415087 11176017655 19100830174 20523232421 22352035310 38201660348 41046464842 44704070620 47752075435 82092929684 95504150870 102616162105 105054565957 191008301740 205232324210 210109131914 225755556631 410464648420 420218263828 451511113262 525272829785 903022226524 964591923787 1050545659570 1128777783155 1929183847574 2101091319140 2257555566310 3858367695148 4515111132620 4822959618935 9645919237870 10610511161657 19291838475740 21221022323314 42442044646628 53052555808285 106105111616570 212210223233140