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211223012220 = 2232511372883197
BaseRepresentation
bin1100010010110111011…
…1110110001101111100
3202012012111100202222200
43010231313312031330
511430041042342340
6241011242111500
721155205660153
oct3045567661574
9665174322880
10211223012220
118164097a410
1234b2a1ab590
1316bc24ca2cc
14a31a84459a
1557638b6330
hex312ddf637c

211223012220 has 144 divisors (see below), whose sum is σ = 717847105248. Its totient is φ = 49821626880.

The previous prime is 211223012197. The next prime is 211223012237. The reversal of 211223012220 is 22210322112.

211223012220 is a `hidden beast` number, since 21 + 122 + 301 + 2 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 211223012193 and 211223012202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1368339 + ... + 1514858.

It is an arithmetic number, because the mean of its divisors is an integer number (4985049342).

Almost surely, 2211223012220 is an apocalyptic number.

211223012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211223012220 is an abundant number, since it is smaller than the sum of its proper divisors (506624093028).

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

211223012220 is a wasteful number, since it uses less digits than its factorization.

211223012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883260 (or 2883255 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211223012220 its reverse (22210322112), we get a palindrome (233433334332).

The spelling of 211223012220 in words is "two hundred eleven billion, two hundred twenty-three million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 2883197 5766394 8649591 11532788 14415985 17299182 25948773 28831970 31715167 34598364 43247955 51897546 57663940 63430334 86495910 95145501 103795092 106678289 126860668 129743865 158575835 172991820 190291002 213356578 259487730 285436503 317151670 320034867 380582004 426713156 475727505 518975460 533391445 570873006 634303340 640069734 951455010 960104601 1066782890 1141746012 1173461179 1280139468 1427182515 1600174335 1902910020 1920209202 2133565780 2346922358 2854365030 3200348670 3520383537 3840418404 4693844716 4800523005 5708730060 5867305895 6400697340 7040767074 9601046010 10561150611 11734611790 14081534148 17601917685 19202092020 21122301222 23469223580 35203835370 42244602444 52805753055 70407670740 105611506110 211223012220