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1232222023332 = 223543107275531
BaseRepresentation
bin10001111011100110001…
…001111110111010100100
311100210120200010111100000
4101323212021332322210
5130142042314221312
62342024110221300
7155011416245016
oct21734611767244
94323520114300
101232222023332
11435645232143
1217a9907b4830
138c2761227c1
14438d5b041b6
15220bd931adc
hex11ee627eea4

1232222023332 has 144 divisors (see below), whose sum is σ = 3336167907072. Its totient is φ = 397437697440.

The previous prime is 1232222023321. The next prime is 1232222023391. The reversal of 1232222023332 is 2333202222321.

1232222023332 is a `hidden beast` number, since 1 + 2 + 322 + 2 + 2 + 0 + 2 + 3 + 332 = 666.

It is a super-2 number, since 2×12322220233322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1232222023296 and 1232222023305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4334407 + ... + 4609937.

It is an arithmetic number, because the mean of its divisors is an integer number (23167832688).

Almost surely, 21232222023332 is an apocalyptic number.

1232222023332 is a gapful number since it is divisible by the number (12) 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 1232222023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668083953536).

1232222023332 is an abundant number, since it is smaller than the sum of its proper divisors (2103945883740).

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

1232222023332 is a wasteful number, since it uses less digits than its factorization.

1232222023332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275700 (or 275686 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1232222023332 its reverse (2333202222321), we get a palindrome (3565424245653).

The spelling of 1232222023332 in words is "one trillion, two hundred thirty-two billion, two hundred twenty-two million, twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 107 108 129 162 172 214 243 258 321 324 387 428 486 516 642 774 963 972 1161 1284 1548 1926 2322 2889 3483 3852 4601 4644 5778 6966 8667 9202 10449 11556 13803 13932 17334 18404 20898 26001 27606 34668 41409 41796 52002 55212 82818 104004 124227 165636 248454 275531 372681 496908 551062 745362 826593 1102124 1118043 1490724 1653186 2236086 2479779 3306372 4472172 4959558 7439337 9919116 11847833 14878674 22318011 23695666 29481817 29757348 35543499 44636022 47391332 58963634 66954033 71086998 88445451 89272044 106630497 117927268 133908066 142173996 176890902 213260994 265336353 267816132 319891491 353781804 426521988 530672706 639782982 796009059 959674473 1061345412 1267718131 1279565964 1592018118 1919348946 2388027177 2535436262 2879023419 3184036236 3803154393 3838697892 4776054354 5070872524 5758046838 7164081531 7606308786 9552108708 11409463179 11516093676 14328163062 15212617572 22818926358 28656326124 34228389537 45637852716 68456779074 102685168611 136913558148 205370337222 308055505833 410740674444 616111011666 1232222023332