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212640312434220 = 2232511479632239103
BaseRepresentation
bin110000010110010100101110…
…010010011001111000101100
31000212220012210222112001112100
4300112110232102121320230
5210332344324440343340
62032125335545135100
762534520112244016
oct6026245622317054
91025805728461470
10212640312434220
1161832282936190
121ba2314a48a490
139185b84320b28
143a71bbb7431b6
15198b3e0e7c830
hexc1652e499e2c

212640312434220 has 144 divisors (see below), whose sum is σ = 703661109645312. Its totient is φ = 51548068859520.

The previous prime is 212640312434219. The next prime is 212640312434273. The reversal of 212640312434220 is 22434213046212.

212640312434220 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 403 + 1 + 24 + 3 + 4 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93847189 + ... + 96086291.

It is an arithmetic number, because the mean of its divisors is an integer number (4886535483648).

Almost surely, 2212640312434220 is an apocalyptic number.

212640312434220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212640312434220 is an abundant number, since it is smaller than the sum of its proper divisors (491020797211092).

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

212640312434220 is a wasteful number, since it uses less digits than its factorization.

212640312434220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287092 (or 2287087 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 212640312434220 in words is "two hundred twelve trillion, six hundred forty billion, three hundred twelve million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 47963 95926 143889 191852 239815 287778 431667 479630 527593 575556 719445 863334 959260 1055186 1438890 1582779 1726668 2110372 2158335 2239103 2637965 2877780 3165558 4316670 4478206 4748337 5275930 6331116 6717309 7913895 8633340 8956412 9496674 10551860 11195515 13434618 15827790 18993348 20151927 22391030 23741685 24630133 26869236 31655580 33586545 40303854 44782060 47483370 49260266 67173090 73890399 80607708 94966740 98520532 100759635 123150665 134346180 147780798 201519270 221671197 246301330 295561596 369451995 403038540 443342394 492602660 738903990 886684788 1108355985 1477807980 2216711970 4433423940 107394097189 214788194378 322182291567 429576388756 536970485945 644364583134 966546874701 1073940971890 1181335069079 1288729166268 1610911457835 1933093749402 2147881943780 2362670138158 3221822915670 3544005207237 3866187498804 4725340276316 4832734373505 5906675345395 6443645831340 7088010414474 9665468747010 10632015621711 11813350690790 14176020828948 17720026036185 19330937494020 21264031243422 23626701381580 35440052072370 42528062486844 53160078108555 70880104144740 106320156217110 212640312434220