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2220231023120 = 245112769298261
BaseRepresentation
bin100000010011110000000…
…101001101101000010000
321212020210201100222212002
4200103300011031220100
5242334013120214440
64415543212053132
7316256252212535
oct40236005155020
97766721328762
102220231023120
1178665a593100
122ba366a641a8
131314a0088036
14796617d2d8c
153cb47604115
hex204f014da10

2220231023120 has 120 divisors (see below), whose sum is σ = 5681372124120. Its totient is φ = 806304153600.

The previous prime is 2220231023119. The next prime is 2220231023123. The reversal of 2220231023120 is 213201320222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 251249557504 + 1968981465616 = 501248^2 + 1403204^2 .

It is a super-3 number, since 3×22202310231203 (a number of 38 digits) contains 333 as substring.

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 = 2220231023092 and 2220231023101.

It is not an unprimeable number, because it can be changed into a prime (2220231023123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7294790 + ... + 7593050.

It is an arithmetic number, because the mean of its divisors is an integer number (47344767701).

Almost surely, 22220231023120 is an apocalyptic number.

2220231023120 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 2220231023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840686062060).

2220231023120 is an abundant number, since it is smaller than the sum of its proper divisors (3461141101000).

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

2220231023120 is a wasteful number, since it uses less digits than its factorization.

2220231023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299065 (or 299048 counting only the distinct ones).

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

Adding to 2220231023120 its reverse (213201320222), we get a palindrome (2433432343342).

The spelling of 2220231023120 in words is "two trillion, two hundred twenty billion, two hundred thirty-one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 769 880 968 1210 1538 1936 2420 3076 3845 4840 6152 7690 8459 9680 12304 15380 16918 30760 33836 42295 61520 67672 84590 93049 135344 169180 186098 298261 338360 372196 465245 596522 676720 744392 930490 1193044 1488784 1491305 1860980 2386088 2982610 3280871 3721960 4772176 5965220 6561742 7443920 11930440 13123484 16404355 23860880 26246968 32808710 36089581 52493936 65617420 72179162 131234840 144358324 180447905 229362709 262469680 288716648 360895810 458725418 577433296 721791620 917450836 1146813545 1443583240 1834901672 2293627090 2522989799 2887166480 3669803344 4587254180 5045979598 9174508360 10091959196 12614948995 18349016720 20183918392 25229897990 27752887789 40367836784 50459795980 55505775578 100919591960 111011551156 138764438945 201839183920 222023102312 277528877890 444046204624 555057755780 1110115511560 2220231023120