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2122022330232 = 233732511027001
BaseRepresentation
bin11110111000010010011…
…000110001111101111000
321111212022101101111000020
4132320102120301331320
5234231400204031412
64302502115010440
7306211456125000
oct36702230617570
97455271344006
102122022330232
11748a43314602
122a3318b99a20
1312514b713a3c
14749c6625000
153a2ea7a718c
hex1ee12631f78

2122022330232 has 128 divisors (see below), whose sum is σ = 6211308096000. Its totient is φ = 603876000000.

The previous prime is 2122022330221. The next prime is 2122022330377. The reversal of 2122022330232 is 2320332202212.

It is a super-2 number, since 2×21220223302322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1552732 + ... + 2579732.

It is an arithmetic number, because the mean of its divisors is an integer number (48525844500).

Almost surely, 22122022330232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122022330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105654048000).

2122022330232 is an abundant number, since it is smaller than the sum of its proper divisors (4089285765768).

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

2122022330232 is a wasteful number, since it uses less digits than its factorization.

2122022330232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027282 (or 1027264 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2122022330232 its reverse (2320332202212), we get a palindrome (4442354532444).

The spelling of 2122022330232 in words is "two trillion, one hundred twenty-two billion, twenty-two million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 251 294 343 392 502 588 686 753 1004 1029 1176 1372 1506 1757 2008 2058 2744 3012 3514 4116 5271 6024 7028 8232 10542 12299 14056 21084 24598 36897 42168 49196 73794 86093 98392 147588 172186 258279 295176 344372 516558 688744 1027001 1033116 2054002 2066232 3081003 4108004 6162006 7189007 8216008 12324012 14378014 21567021 24648024 28756028 43134042 50323049 57512056 86268084 100646098 150969147 172536168 201292196 257777251 301938294 352261343 402584392 515554502 603876588 704522686 773331753 1031109004 1056784029 1207753176 1409045372 1546663506 1804440757 2062218008 2113568058 2818090744 3093327012 3608881514 4227136116 5413322271 6186654024 7217763028 8454272232 10826644542 12631085299 14435526056 21653289084 25262170598 37893255897 43306578168 50524341196 75786511794 88417597093 101048682392 151573023588 176835194186 265252791279 303146047176 353670388372 530505582558 707340776744 1061011165116 2122022330232