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200022231332 = 2271124710112437
BaseRepresentation
bin1011101001001001000…
…0010000100100100100
3201010021220010011011002
42322102100100210210
511234121142400312
6231520002332432
720310510625250
oct2722220204444
9633256104132
10200022231332
1177913375a00
123292305a118
1315b28b04101
14997702b260
15530a3b64c2
hex2e92410924

200022231332 has 144 divisors (see below), whose sum is σ = 453556744704. Its totient is φ = 75511392000.

The previous prime is 200022231187. The next prime is 200022231347. The reversal of 200022231332 is 233132220002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16076618 + ... + 16089054.

It is an arithmetic number, because the mean of its divisors is an integer number (3149699616).

Almost surely, 2200022231332 is an apocalyptic number.

200022231332 is a gapful number since it is divisible by the number (22) 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 200022231332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226778372352).

200022231332 is an abundant number, since it is smaller than the sum of its proper divisors (253534513372).

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

200022231332 is a wasteful number, since it uses less digits than its factorization.

200022231332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12618 (or 12605 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 200022231332 its reverse (233132220002), we get a palindrome (433154451334).

The spelling of 200022231332 in words is "two hundred billion, twenty-two million, two hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 101 121 154 188 202 242 308 329 404 484 517 658 707 847 1034 1111 1316 1414 1694 2068 2222 2828 3388 3619 4444 4747 5687 7238 7777 9494 11374 12221 12437 14476 15554 18988 22748 24442 24874 31108 33229 39809 48884 49748 52217 66458 79618 85547 87059 104434 132916 136807 159236 171094 174118 208868 273614 342188 348236 365519 547228 574387 584539 731038 957649 1148774 1169078 1256137 1462076 1504877 1915298 2297548 2338156 2512274 3009754 3830596 4020709 4091773 5024548 6019508 6429929 8041418 8183546 8792959 10534139 12859858 13817507 16082836 16367092 17585918 21068278 25719716 27635014 35171836 42136556 45009503 55270028 59038439 70729219 90019006 96722549 118076878 141458438 151992577 180038012 193445098 236153756 282916876 303985154 386890196 413269073 495104533 607970308 649422829 826538146 990209066 1063948039 1298845658 1653076292 1980418132 2127896078 2597691316 4255792156 4545959803 7143651119 9091919606 14287302238 18183839212 28574604476 50005557833 100011115666 200022231332