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201240212220 = 223258991913669
BaseRepresentation
bin1011101101101011011…
…0011111001011111100
3201020102202221222211100
42323122312133023330
511244114443242340
6232240512053100
720352630403035
oct2733266371374
9636382858740
10201240212220
1178388942a83
1233002b34190
1315c91252968
149a50abba8c
15537c2a4830
hex2edad9f2fc

201240212220 has 144 divisors (see below), whose sum is σ = 618004296000. Its totient is φ = 52999474176.

The previous prime is 201240212213. The next prime is 201240212267. The reversal of 201240212220 is 22212042102.

201240212220 is a `hidden beast` number, since 20 + 12 + 402 + 12 + 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 = 201240212193 and 201240212202.

It is a congruent number.

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, 14715546 + ... + 14729214.

It is an arithmetic number, because the mean of its divisors is an integer number (4291696500).

Almost surely, 2201240212220 is an apocalyptic number.

201240212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201240212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309002148000).

201240212220 is an abundant number, since it is smaller than the sum of its proper divisors (416764083780).

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

201240212220 is a wasteful number, since it uses less digits than its factorization.

201240212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14692 (or 14687 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201240212220 its reverse (22212042102), we get a palindrome (223452254322).

The spelling of 201240212220 in words is "two hundred one billion, two hundred forty million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 919 1068 1335 1602 1780 1838 2670 2757 3204 3676 4005 4595 5340 5514 8010 8271 9190 11028 13669 13785 16020 16542 18380 27338 27570 33084 41007 41355 54676 55140 68345 81791 82014 82710 123021 136690 163582 164028 165420 205035 245373 246042 273380 327164 408955 410070 490746 492084 615105 736119 817910 820140 981492 1216541 1226865 1230210 1472238 1635820 2433082 2453730 2460420 2944476 3649623 3680595 4866164 4907460 6082705 7299246 7361190 10948869 12165410 12561811 14598492 14722380 18248115 21897738 24330820 25123622 36496230 37685433 43795476 50247244 54744345 62809055 72992460 75370866 109488690 113056299 125618110 150741732 188427165 218977380 226112598 251236220 376854330 452225196 565281495 753708660 1118001179 1130562990 2236002358 2261125980 3354003537 4472004716 5590005895 6708007074 10062010611 11180011790 13416014148 16770017685 20124021222 22360023580 33540035370 40248042444 50310053055 67080070740 100620106110 201240212220