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2221002221220 = 22325372087159791
BaseRepresentation
bin100000010100011110000…
…011000110011010100100
321212022210110111220202200
4200110132003012122210
5242342103032034340
64420151521334500
7316314335250516
oct40243603063244
97768713456680
102221002221220
11786a15941702
122ba541197430
13131593a95383
14796d5dc1bb6
153cb9018c330
hex2051e0c66a4

2221002221220 has 144 divisors (see below), whose sum is σ = 6922480900608. Its totient is φ = 575980312320.

The previous prime is 2221002221201. The next prime is 2221002221261. The reversal of 2221002221220 is 221222001222.

2221002221220 is a `hidden beast` number, since 2 + 221 + 0 + 0 + 2 + 221 + 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 = 2221002221193 and 2221002221202.

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, 13819525 + ... + 13979315.

It is an arithmetic number, because the mean of its divisors is an integer number (48072784032).

Almost surely, 22221002221220 is an apocalyptic number.

2221002221220 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 2221002221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461240450304).

2221002221220 is an abundant number, since it is smaller than the sum of its proper divisors (4701478679388).

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

2221002221220 is a wasteful number, since it uses less digits than its factorization.

2221002221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161930 (or 161925 counting only the distinct ones).

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

Adding to 2221002221220 its reverse (221222001222), we get a palindrome (2442224222442).

The spelling of 2221002221220 in words is "two trillion, two hundred twenty-one billion, two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2087 2220 3330 4174 6261 6660 8348 10435 12522 18783 20870 25044 31305 37566 41740 62610 75132 77219 93915 125220 154438 159791 187830 231657 308876 319582 375660 386095 463314 479373 639164 694971 772190 798955 926628 958746 1158285 1389942 1438119 1544380 1597910 1917492 2316570 2396865 2779884 2876238 3195820 3474855 4633140 4793730 5752476 5912267 6949710 7190595 9587460 11824534 13899420 14381190 17736801 23649068 28762380 29561335 35473602 53210403 59122670 70947204 88684005 106420806 118245340 177368010 212841612 266052015 333483817 354736020 532104030 666967634 1000451451 1064208060 1333935268 1667419085 2000902902 3001354353 3334838170 4001805804 5002257255 6002708706 6669676340 10004514510 12005417412 12338901229 15006771765 20009029020 24677802458 30013543530 37016703687 49355604916 60027087060 61694506145 74033407374 111050111061 123389012290 148066814748 185083518435 222100222122 246778024580 370167036870 444200444244 555250555305 740334073740 1110501110610 2221002221220