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220212200212020 = 22355139325979513
BaseRepresentation
bin110010000100100000100101…
…111110000000011000110100
31001212201002011212020020100000
4302010200211332000120310
5212330424041223241040
62100204031014351300
764245543415356612
oct6204404576003064
91055632155206300
10220212200212020
1164191519110435
122084672435b530
1395b4bc9356243
143c544823ba6b2
151a6d3584b7130
hexc84825f80634

220212200212020 has 144 divisors (see below), whose sum is σ = 697700473404480. Its totient is φ = 58300783762176.

The previous prime is 220212200212019. The next prime is 220212200212087. The reversal of 220212200212020 is 20212002212022.

220212200212020 is a `hidden beast` number, since 2 + 20 + 212 + 200 + 212 + 0 + 20 = 666.

It is a super-4 number, since 4×2202122002120204 (a number of 58 digits) contains 4444 as substring.

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 = 220212200211984 and 220212200212002.

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, 162314217 + ... + 163665296.

It is an arithmetic number, because the mean of its divisors is an integer number (4845142176420).

Almost surely, 2220212200212020 is an apocalyptic number.

220212200212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212200212020 is an abundant number, since it is smaller than the sum of its proper divisors (477488273192460).

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

220212200212020 is a wasteful number, since it uses less digits than its factorization.

220212200212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325979676 (or 325979662 counting only the distinct ones).

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

Adding to 220212200212020 its reverse (20212002212022), we get a palindrome (240424202424042).

The spelling of 220212200212020 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 139 162 180 243 270 278 324 405 417 486 540 556 695 810 834 972 1215 1251 1390 1620 1668 2085 2430 2502 2780 3753 4170 4860 5004 6255 7506 8340 11259 12510 15012 18765 22518 25020 33777 37530 45036 56295 67554 75060 112590 135108 168885 225180 337770 675540 325979513 651959026 977938539 1303918052 1629897565 1955877078 2933815617 3259795130 3911754156 4889692695 5867631234 6519590260 8801446851 9779385390 11735262468 14669078085 17602893702 19558770780 26404340553 29338156170 35205787404 44007234255 45311152307 52808681106 58676312340 79213021659 88014468510 90622304614 105617362212 132021702765 135933456921 158426043318 176028937020 181244609228 226555761535 264043405530 271866913842 316852086636 396065108295 407800370763 453111523070 528086811060 543733827684 679667284605 792130216590 815600741526 906223046140 1223401112289 1359334569210 1584260433180 1631201483052 2039001853815 2446802224578 2718669138420 3670203336867 4078003707630 4893604449156 6117005561445 7340406673734 8156007415260 11010610010601 12234011122890 14680813347468 18351016684335 22021220021202 24468022245780 36702033368670 44042440042404 55053050053005 73404066737340 110106100106010 220212200212020