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2220131023220 = 22511292103911549
BaseRepresentation
bin100000010011101010000…
…111101111100101110100
321212020112202012110210002
4200103222013233211310
5242333312020220340
64415525240450432
7316253626220615
oct40235207574564
97766482173702
102220131023220
117866090a1760
122ba339479a18
131314854445b6
1479652401c0c
153cb3d94e715
hex204ea1ef974

2220131023220 has 144 divisors (see below), whose sum is σ = 5273075808000. Its totient is φ = 778664087040.

The previous prime is 2220131023189. The next prime is 2220131023283. The reversal of 2220131023220 is 223201310222.

It is a happy number.

2220131023220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2220131023192 and 2220131023201.

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, 192230006 + ... + 192241554.

It is an arithmetic number, because the mean of its divisors is an integer number (36618582000).

Almost surely, 22220131023220 is an apocalyptic number.

2220131023220 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 2220131023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636537904000).

2220131023220 is an abundant number, since it is smaller than the sum of its proper divisors (3052944784780).

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

2220131023220 is a wasteful number, since it uses less digits than its factorization.

2220131023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12666 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2220131023220 its reverse (223201310222), we get a palindrome (2443332333442).

The spelling of 2220131023220 in words is "two trillion, two hundred twenty billion, one hundred thirty-one million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 841 1039 1276 1595 1682 2078 3190 3364 4156 4205 5195 6380 8410 9251 10390 11429 11549 16820 18502 20780 22858 23098 30131 37004 45716 46196 46255 57145 57745 60262 92510 114290 115490 120524 127039 150655 185020 228580 230980 254078 301310 331441 334921 508156 602620 635195 662882 669842 873799 1270390 1325764 1339684 1657205 1674605 1747598 2540780 3314410 3349210 3495196 3684131 4368995 6628820 6698420 7368262 8737990 9611789 9712709 11999411 14736524 17475980 18420655 19223578 19425418 23998822 36841310 38447156 38850836 47997644 48058945 48563545 59997055 73682620 96117890 97127090 106839799 119994110 131993521 192235780 194254180 213679598 239988220 263987042 347982919 427359196 527974084 534198995 659967605 695965838 1068397990 1319935210 1391931676 1739914595 2136795980 2639870420 3479829190 3827812109 6959658380 7655624218 10091504651 15311248436 19139060545 20183009302 38278121090 40366018604 50457523255 76556242180 100915046510 111006551161 201830093020 222013102322 444026204644 555032755805 1110065511610 2220131023220