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22001322132 = 22326131332009
BaseRepresentation
bin10100011111011000…
…011000100010010100
32002210022100222002200
4110133120120202110
5330024314302012
614035100404500
71406133103206
oct243730304224
962708328080
1022001322132
119370199a59
124320246730
1320c81c5a0a
1410ca006776
1588b7e03dc
hex51f618894

22001322132 has 72 divisors (see below), whose sum is σ = 56708531880. Its totient is φ = 7190277120.

The previous prime is 22001322121. The next prime is 22001322197. The reversal of 22001322132 is 23122310022.

It can be written as a sum of positive squares in 4 ways, for example, as 7907833476 + 14093488656 = 88926^2 + 118716^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671344 + ... + 703352.

Almost surely, 222001322132 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 22001322132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28354265940).

22001322132 is an abundant number, since it is smaller than the sum of its proper divisors (34707209748).

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

22001322132 is a wasteful number, since it uses less digits than its factorization.

22001322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32393 (or 32388 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22001322132 its reverse (23122310022), we get a palindrome (45123632154).

The spelling of 22001322132 in words is "twenty-two billion, one million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 313 366 549 626 732 939 1098 1252 1878 2196 2817 3756 5634 11268 19093 32009 38186 57279 64018 76372 96027 114558 128036 171837 192054 229116 288081 343674 384108 576162 687348 1152324 1952549 3905098 5857647 7810196 10018817 11715294 17572941 20037634 23430588 30056451 35145882 40075268 60112902 70291764 90169353 120225804 180338706 360677412 611147837 1222295674 1833443511 2444591348 3666887022 5500330533 7333774044 11000661066 22001322132