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220221002021000 = 23533161116457431
BaseRepresentation
bin110010000100101000110010…
…100110001111100010001000
31001212201220220021101110101012
4302010220302212033202020
5212331100103004133000
62100212044235543052
764246304503456361
oct6204506246174210
91055656807343335
10220221002021000
1164195225544832
122084837bbbaa88
1395b599ca33736
143c54a79360b68
151a6d6c1095735
hexc84a3298f888

220221002021000 has 128 divisors (see below), whose sum is σ = 540660615505920. Its totient is φ = 83849349600000.

The previous prime is 220221002020997. The next prime is 220221002021039. The reversal of 220221002021000 is 120200122022.

It is a super-2 number, since 2×2202210020210002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56337716 + ... + 60119715.

It is an arithmetic number, because the mean of its divisors is an integer number (4223911058640).

Almost surely, 2220221002021000 is an apocalyptic number.

220221002021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221002021000 is an abundant number, since it is smaller than the sum of its proper divisors (320439613484920).

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

220221002021000 is a wasteful number, since it uses less digits than its factorization.

220221002021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116457544 (or 116457530 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220221002021000 its reverse (120200122022), we get a palindrome (220341202143022).

The spelling of 220221002021000 in words is "two hundred twenty trillion, two hundred twenty-one billion, two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 61 62 100 122 124 125 155 200 244 248 250 305 310 488 500 610 620 775 1000 1220 1240 1525 1550 1891 2440 3050 3100 3782 3875 6100 6200 7564 7625 7750 9455 12200 15128 15250 15500 18910 30500 31000 37820 47275 61000 75640 94550 189100 236375 378200 472750 945500 1891000 116457431 232914862 465829724 582287155 931659448 1164574310 2329148620 2911435775 3610180361 4658297240 5822871550 7103903291 7220360722 11645743100 14207806582 14440721444 14557178875 18050901805 23291486200 28415613164 28881442888 29114357750 35519516455 36101803610 56831226328 58228715500 71039032910 72203607220 90254509025 116457431000 142078065820 144407214440 177597582275 180509018050 220221002021 284156131640 355195164550 361018036100 440442004042 451272545125 710390329100 722036072200 880884008084 887987911375 902545090250 1101105010105 1420780658200 1761768016168 1775975822750 1805090180500 2202210020210 3551951645500 3610180361000 4404420040420 5505525050525 7103903291000 8808840080840 11011050101050 22022100202100 27527625252625 44044200404200 55055250505250 110110501010500 220221002021000