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20332233302332 = 227191061296312157
BaseRepresentation
bin1001001111101111101111…
…00010110010000100111100
32122222202001022000221122011
410213313313202302010330
510131110403211133312
6111124255442501004
74165645460343520
oct447676742620474
978882038027564
1020332233302332
116529940703476
122344633964764
13b464240991b3
1450412a273d80
15253d4c267da7
hex127df78b213c

20332233302332 has 96 divisors (see below), whose sum is σ = 42863030945280. Its totient is φ = 8243950245120.

The previous prime is 20332233302309. The next prime is 20332233302333. The reversal of 20332233302332 is 23320333223302.

It is a super-2 number, since 2×203322333023322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20332233302294 and 20332233302303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332233302333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1672465198 + ... + 1672477354.

It is an arithmetic number, because the mean of its divisors is an integer number (446489905680).

Almost surely, 220332233302332 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 20332233302332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21431515472640).

20332233302332 is an abundant number, since it is smaller than the sum of its proper divisors (22530797642948).

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

20332233302332 is a wasteful number, since it uses less digits than its factorization.

20332233302332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16211 (or 16209 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 31.

Adding to 20332233302332 its reverse (23320333223302), we get a palindrome (43652566525634).

The spelling of 20332233302332 in words is "twenty trillion, three hundred thirty-two billion, two hundred thirty-three million, three hundred two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 1061 2122 2963 4244 5926 7427 11852 12157 14854 20159 20741 24314 29708 40318 41482 48628 56297 80636 82964 85099 112594 141113 170198 225188 230983 282226 340396 394079 461966 564452 788158 923932 1576316 1616881 3143743 3233762 6287486 6467524 12574972 12898577 22006201 25797154 36021191 44012402 51594308 59731117 72042382 88024804 90290039 119462234 144084764 180580078 238924468 245072963 252148337 361160156 418117819 490145926 504296674 684402629 836235638 980291852 1008593348 1368805258 1672471276 1715510741 2737610516 3431021482 4790818403 6862042964 9581636806 19163273612 38218483651 76436967302 152873934604 267529385557 535058771114 726151189369 1070117542228 1452302378738 2904604757476 5083058325583 10166116651166 20332233302332