Search a number
-
+
220022000201332 = 22727982914062073
BaseRepresentation
bin110010000001101111011101…
…001010100010111001110100
31001212000220020111100120212201
4302001233131022202321310
5212314320024022420312
62055540413404154244
764226031163064200
oct6201573512427164
91055026214316781
10220022000201332
116411889617425a
12208158a2838984
13959cca7465414
143c4919ba75b00
151a68425593557
hexc81bdd2a2e74

220022000201332 has 36 divisors (see below), whose sum is σ = 447907571600580. Its totient is φ = 94293955023744.

The previous prime is 220022000201329. The next prime is 220022000201363. The reversal of 220022000201332 is 233102000220022.

220022000201332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 96890043039076 + 123131957162256 = 9843274^2 + 11096484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8615448 + ... + 22677520.

It is an arithmetic number, because the mean of its divisors is an integer number (12441876988905).

Almost surely, 2220022000201332 is an apocalyptic number.

It is an amenable number.

220022000201332 is an abundant number, since it is smaller than the sum of its proper divisors (227885571399248).

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

220022000201332 is a wasteful number, since it uses less digits than its factorization.

220022000201332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14141920 (or 14141911 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 220022000201332 its reverse (233102000220022), we get a palindrome (453124000421354).

The spelling of 220022000201332 in words is "two hundred twenty trillion, twenty-two billion, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 79829 159658 319316 558803 1117606 2235212 3911621 7823242 14062073 15646484 28124146 56248292 98434511 196869022 393738044 689041577 1378083154 2756166308 1122561225517 2245122451034 4490244902068 7857928578619 15715857157238 31431714314476 55005500050333 110011000100666 220022000201332