Search a number
-
+
220022110222032 = 243591103279125237
BaseRepresentation
bin110010000001101111100011…
…101110001111011011010000
31001212000220112011101012220110
4302001233203232033123100
5212314320240204101112
62055540432334241320
764226034000203226
oct6201574356173320
91055026464335813
10220022110222032
116411894228a458
1220815913656240
13959ccc41a7021
143c491ac514b16
151a6843007713c
hexc81be3b8f6d0

220022110222032 has 160 divisors (see below), whose sum is σ = 578778458664960. Its totient is φ = 72003613616640.

The previous prime is 220022110222021. The next prime is 220022110222051. The reversal of 220022110222032 is 230222011220022.

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, 8718222918 + ... + 8718248154.

It is an arithmetic number, because the mean of its divisors is an integer number (3617365366656).

Almost surely, 2220022110222032 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 220022110222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289389229332480).

220022110222032 is an abundant number, since it is smaller than the sum of its proper divisors (358756348442928).

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

220022110222032 is a wasteful number, since it uses less digits than its factorization.

220022110222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29201 (or 29195 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 220022110222032 its reverse (230222011220022), we get a palindrome (450244121442054).

The spelling of 220022110222032 in words is "two hundred twenty trillion, twenty-two billion, one hundred ten million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1103 1416 2206 2791 2832 3309 4412 5582 6618 8373 8824 11164 13236 16746 17648 22328 25237 26472 33492 44656 50474 52944 65077 66984 75711 100948 130154 133968 151422 164669 195231 201896 260308 302844 329338 390462 403792 494007 520616 605688 658676 780924 988014 1041232 1211376 1317352 1488983 1561848 1976028 2634704 2977966 3078473 3123696 3952056 4466949 5955932 6156946 7904112 8933898 9235419 11911864 12313892 17867796 18470838 23823728 24627784 27836411 35735592 36941676 49255568 55672822 70436467 71471184 73883352 83509233 111345644 140872934 147766704 167018466 181629907 211309401 222691288 281745868 334036932 363259814 422618802 445382576 544889721 563491736 668073864 726519628 845237604 1089779442 1126983472 1336147728 1453039256 1642348249 1690475208 2179558884 2906078512 3284696498 3380950416 4155751553 4359117768 4927044747 6569392996 8311503106 8718235536 9854089494 12467254659 13138785992 16623006212 19708178988 24934509318 26277571984 33246012424 39416357976 49869018636 66492024848 77691423101 78832715952 99738037272 155382846202 199476074544 233074269303 310765692404 466148538606 621531384808 932297077212 1243062769616 1864594154424 3729188308848 4583793962959 9167587925918 13751381888877 18335175851836 27502763777754 36670351703672 55005527555508 73340703407344 110011055111016 220022110222032