Search a number
-
+
222140322100 = 225219300138959
BaseRepresentation
bin1100111011100010011…
…0000101000100110100
3210020101100012120201001
43032320212011010310
512114420410301400
6250014434013044
722022562404014
oct3167046050464
9706340176631
10222140322100
1186233469964
1237076417184
1317c42261c98
14aa7474bc44
155ba206ea6a
hex33b8985134

222140322100 has 72 divisors (see below), whose sum is σ = 507597372800. Its totient is φ = 84149280000.

The previous prime is 222140322097. The next prime is 222140322113. The reversal of 222140322100 is 1223041222.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5682421 + ... + 5721379.

Almost surely, 2222140322100 is an apocalyptic number.

222140322100 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 222140322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253798686400).

222140322100 is an abundant number, since it is smaller than the sum of its proper divisors (285457050700).

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

222140322100 is a wasteful number, since it uses less digits than its factorization.

222140322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41993 (or 41986 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 222140322100 its reverse (1223041222), we get a palindrome (223363363322).

The spelling of 222140322100 in words is "two hundred twenty-two billion, one hundred forty million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 3001 6002 12004 15005 30010 38959 57019 60020 75025 77918 114038 150050 155836 194795 228076 285095 300100 389590 570190 740221 779180 973975 1140380 1425475 1480442 1947950 2850950 2960884 3701105 3895900 5701900 7402210 14804420 18505525 37011050 74022100 116915959 233831918 467663836 584579795 1169159590 2221403221 2338319180 2922898975 4442806442 5845797950 8885612884 11107016105 11691595900 22214032210 44428064420 55535080525 111070161050 222140322100