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2220032332230 = 2351740155719489
BaseRepresentation
bin100000010011100100001…
…111010001000111000110
321212020021212111110012020
4200103210033101013012
5242333111234112410
64415511353304010
7316251320320026
oct40234417210706
97766255443166
102220032332230
11786568414759
122ba310405006
1313146ab6b86b
1479643271a86
153cb34e57a70
hex204e43d11c6

2220032332230 has 128 divisors (see below), whose sum is σ = 5666006816640. Its totient is φ = 554768793600.

The previous prime is 2220032332229. The next prime is 2220032332237. The reversal of 2220032332230 is 322332300222.

It is a super-2 number, since 2×22200323322302 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2220032332230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220032332237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113902326 + ... + 113921814.

It is an arithmetic number, because the mean of its divisors is an integer number (44265678255).

Almost surely, 22220032332230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220032332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833003408320).

2220032332230 is an abundant number, since it is smaller than the sum of its proper divisors (3445974484410).

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

2220032332230 is a wasteful number, since it uses less digits than its factorization.

2220032332230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20474.

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 2220032332230 its reverse (322332300222), we get a palindrome (2542364632452).

The spelling of 2220032332230 in words is "two trillion, two hundred twenty billion, thirty-two million, three hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 401 510 557 802 1114 1203 1671 2005 2406 2785 3342 4010 5570 6015 6817 8355 9469 12030 13634 16710 18938 19489 20451 28407 34085 38978 40902 47345 56814 58467 68170 94690 97445 102255 116934 142035 194890 204510 223357 284070 292335 331313 446714 584670 662626 670071 993939 1116785 1340142 1656565 1987878 2233570 3313130 3350355 3797069 4969695 6700710 7594138 7815089 9939390 10855373 11391207 15630178 18985345 21710746 22782414 23445267 32566119 37970690 39075445 46890534 54276865 56956035 65132238 78150890 108553730 113912070 117226335 132856513 162830595 184541341 234452670 265713026 325661190 369082682 398569539 553624023 664282565 797139078 922706705 1107248046 1328565130 1845413410 1992847695 2768120115 3985695390 4353004573 5536240230 8706009146 13059013719 21765022865 26118027438 43530045730 65295068595 74001077741 130590137190 148002155482 222003233223 370005388705 444006466446 740010777410 1110016166115 2220032332230