Search a number
-
+
220344022100 = 225212717349923
BaseRepresentation
bin1100110100110110000…
…1101111010001010100
3210001202011011002100102
43031031201233101110
512102231032201400
6245120305033232
721630221166536
oct3151541572124
9701664132312
10220344022100
11854a1502104
1236854925818
1317a17069087
14a943d59856
155ae94e79d5
hex334d86f454

220344022100 has 36 divisors (see below), whose sum is σ = 481911489024. Its totient is φ = 87443606880.

The previous prime is 220344022091. The next prime is 220344022121. The reversal of 220344022100 is 1220443022.

220344022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 8662262 + ... + 8687661.

Almost surely, 2220344022100 is an apocalyptic number.

220344022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220344022100 is an abundant number, since it is smaller than the sum of its proper divisors (261567466924).

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

220344022100 is a wasteful number, since it uses less digits than its factorization.

220344022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17350064 (or 17350057 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 220344022100 its reverse (1220443022), we get a palindrome (221564465122).

The spelling of 220344022100 in words is "two hundred twenty billion, three hundred forty-four million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 6350 12700 17349923 34699846 69399692 86749615 173499230 346998460 433748075 867496150 1734992300 2203440221 4406880442 8813760884 11017201105 22034402210 44068804420 55086005525 110172011050 220344022100