Search a number
-
+
22200400100 = 22528312721061
BaseRepresentation
bin10100101011001111…
…110011100011100100
32010022011222011201202
4110223033303203210
5330431300300400
614110531342032
71414101200354
oct245317634344
963264864652
1022200400100
1194626021aa
124376a51918
13212a519428
141108628b64
1589e0164d5
hex52b3f38e4

22200400100 has 72 divisors (see below), whose sum is σ = 49141521408. Its totient is φ = 8703676800.

The previous prime is 22200400087. The next prime is 22200400111. The reversal of 22200400100 is 100400222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1043570 + ... + 1064630.

Almost surely, 222200400100 is an apocalyptic number.

22200400100 is a gapful number since it is divisible by the number (20) 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 22200400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24570760704).

22200400100 is an abundant number, since it is smaller than the sum of its proper divisors (26941121308).

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

22200400100 is a wasteful number, since it uses less digits than its factorization.

22200400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21285 (or 21278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22200400100 its reverse (100400222), we get a palindrome (22300800322).

The spelling of 22200400100 in words is "twenty-two billion, two hundred million, four hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 127 166 254 332 415 508 635 830 1270 1660 2075 2540 3175 4150 6350 8300 10541 12700 21061 21082 42122 42164 52705 84244 105305 105410 210610 210820 263525 421220 526525 527050 1053050 1054100 1748063 2106100 2674747 3496126 5349494 6992252 8740315 10698988 13373735 17480630 26747470 34961260 43701575 53494940 66868675 87403150 133737350 174806300 222004001 267474700 444008002 888016004 1110020005 2220040010 4440080020 5550100025 11100200050 22200400100