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212233240100440 = 235132231365019553
BaseRepresentation
bin110000010000011001100110…
…111000101011111001011000
31000211110022002102002220110101
4300100121212320223321120
5210304212133431203230
62031214334324225144
762463226352430046
oct6020314670537130
91024408072086411
10212233240100440
1161695680144839
121b97828283b1b4
13915667c701a00
143a5a202195396
151980a1872caca
hexc10666e2be58

212233240100440 has 96 divisors (see below), whose sum is σ = 539564929305120. Its totient is φ = 74955953639424.

The previous prime is 212233240100393. The next prime is 212233240100501. The reversal of 212233240100440 is 44001042332212.

It is a super-2 number, since 2×2122332401004402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212233240100399 and 212233240100408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682354297 + ... + 682665256.

It is an arithmetic number, because the mean of its divisors is an integer number (5620468013595).

Almost surely, 2212233240100440 is an apocalyptic number.

212233240100440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212233240100440 is an abundant number, since it is smaller than the sum of its proper divisors (327331689204680).

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

212233240100440 is a wasteful number, since it uses less digits than its factorization.

212233240100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365019613 (or 1365019596 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 212233240100440 its reverse (44001042332212), we get a palindrome (256234282432652).

The spelling of 212233240100440 in words is "two hundred twelve trillion, two hundred thirty-three billion, two hundred forty million, one hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 169 184 230 260 299 338 460 520 598 676 845 920 1196 1352 1495 1690 2392 2990 3380 3887 5980 6760 7774 11960 15548 19435 31096 38870 77740 155480 1365019553 2730039106 5460078212 6825097765 10920156424 13650195530 17745254189 27300391060 31395449719 35490508378 54600782120 62790899438 70981016756 88726270945 125581798876 141962033512 156977248595 177452541890 230688304457 251163597752 313954497190 354905083780 408140846347 461376608914 627908994380 709810167560 816281692694 922753217828 1153441522285 1255817988760 1632563385388 1845506435656 2040704231735 2306883044570 3265126770776 4081408463470 4613766089140 5305831002511 8162816926940 9227532178280 10611662005022 16325633853880 21223324010044 26529155012555 42446648020088 53058310025110 106116620050220 212233240100440