Search a number
-
+
220011100 = 22522324159
BaseRepresentation
bin11010001110100…
…01101001011100
3120022222201111021
431013101221130
5422310323400
633455333524
75311030531
oct1507215134
9508881437
10220011100
11103210661
12618212a4
13367727aa
1421310d88
15144ad71a
hexd1d1a5c

220011100 has 54 divisors (see below), whose sum is σ = 499204160. Its totient is φ = 84157920.

The previous prime is 220011097. The next prime is 220011107. The reversal of 220011100 is 1110022.

220011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220011107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50821 + ... + 54979.

Almost surely, 2220011100 is an apocalyptic number.

220011100 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 220011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249602080).

220011100 is an abundant number, since it is smaller than the sum of its proper divisors (279193060).

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

220011100 is a wasteful number, since it uses less digits than its factorization.

220011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 220011100 is about 14832.7711503953. The cubic root of 220011100 is about 603.6912263271.

Adding to 220011100 its reverse (1110022), we get a palindrome (221121122).

The spelling of 220011100 in words is "two hundred twenty million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 529 575 1058 1150 2116 2300 2645 4159 5290 8318 10580 13225 16636 20795 26450 41590 52900 83180 95657 103975 191314 207950 382628 415900 478285 956570 1913140 2200111 2391425 4400222 4782850 8800444 9565700 11000555 22001110 44002220 55002775 110005550 220011100