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222003201020 = 22541437386249
BaseRepresentation
bin1100111011000001101…
…1000000001111111100
3210020000210012002221112
43032300123000033330
512114130304413040
6245553055021152
722016306034056
oct3166033001774
9706023162845
10222003201020
1186173023857
123703850a7b8
1317c1ca22153
14aa604568d6
155b94ed6365
hex33b06c03fc

222003201020 has 96 divisors (see below), whose sum is σ = 495384120000. Its totient is φ = 83460464640.

The previous prime is 222003200999. The next prime is 222003201041. The reversal of 222003201020 is 20102300222.

222003201020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222003200999) and next prime (222003201041).

It is a junction number, because it is equal to n+sod(n) for n = 222003200986 and 222003201004.

It is a congruent number.

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, 2530856 + ... + 2617104.

It is an arithmetic number, because the mean of its divisors is an integer number (5160251250).

Almost surely, 2222003201020 is an apocalyptic number.

222003201020 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 222003201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247692060000).

222003201020 is an abundant number, since it is smaller than the sum of its proper divisors (273380918980).

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

222003201020 is a wasteful number, since it uses less digits than its factorization.

222003201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86415 (or 86413 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 222003201020 its reverse (20102300222), we get a palindrome (242105501242).

The spelling of 222003201020 in words is "two hundred twenty-two billion, three million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 43 73 82 86 146 164 172 205 215 292 365 410 430 730 820 860 1460 1763 2993 3139 3526 5986 6278 7052 8815 11972 12556 14965 15695 17630 29930 31390 35260 59860 62780 86249 128699 172498 257398 344996 431245 514796 643495 862490 1286990 1724980 2573980 3536209 3708707 6296177 7072418 7417414 12592354 14144836 14834828 17681045 18543535 25184708 31480885 35362090 37087070 62961770 70724180 74174140 125923540 152056987 258143257 270735611 304113974 516286514 541471222 608227948 760284935 1032573028 1082942444 1290716285 1353678055 1520569870 2581432570 2707356110 3041139740 5162865140 5414712220 11100160051 22200320102 44400640204 55500800255 111001600510 222003201020