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211222233420 = 2235111721107383
BaseRepresentation
bin1100010010110111010…
…0111000000101001100
3202012012102220012200020
43010231310320011030
511430040342432140
6241011213302140
721155166234462
oct3045564700514
9665172805606
10211222233420
1181640498280
1234b29a94950
1316bc22b6993
14a31a6c0832
1557637b06d0
hex312dd3814c

211222233420 has 144 divisors (see below), whose sum is σ = 685373246208. Its totient is φ = 48193264640.

The previous prime is 211222233379. The next prime is 211222233421. The reversal of 211222233420 is 24332222112.

It is a super-3 number, since 3×2112222334203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (211222233421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362952 + ... + 744431.

It is an arithmetic number, because the mean of its divisors is an integer number (4759536432).

Almost surely, 2211222233420 is an apocalyptic number.

211222233420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222233420 is an abundant number, since it is smaller than the sum of its proper divisors (474151012788).

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

211222233420 is a wasteful number, since it uses less digits than its factorization.

211222233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107440 (or 1107421 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 211222233420 its reverse (24332222112), we get a palindrome (235554455532).

The spelling of 211222233420 in words is "two hundred eleven billion, two hundred twenty-two million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 289 330 340 374 510 561 578 660 748 867 935 1020 1122 1156 1445 1734 1870 2244 2805 2890 3179 3468 3740 4335 5610 5780 6358 8670 9537 11220 12716 15895 17340 19074 31790 38148 47685 63580 95370 190740 1107383 2214766 3322149 4429532 5536915 6644298 11073830 12181213 13288596 16610745 18825511 22147660 24362426 33221490 36543639 37651022 48724852 56476533 60906065 66442980 73087278 75302044 94127555 112953066 121812130 146174556 182718195 188255110 207080621 225906132 243624260 282382665 320033687 365436390 376510220 414161242 564765330 621241863 640067374 730872780 828322484 960101061 1035403105 1129530660 1242483726 1280134748 1600168435 1920202122 2070806210 2484967452 3106209315 3200336870 3520370557 3840404244 4141612420 4800505305 6212418630 6400673740 7040741114 9601010610 10561111671 12424837260 14081482228 17601852785 19202021220 21122223342 35203705570 42244446684 52805558355 70407411140 105611116710 211222233420