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220011000 = 233531159113
BaseRepresentation
bin11010001110100…
…01100111111000
3120022222201100120
431013101213320
5422310323000
633455333240
75311030326
oct1507214770
9508881316
10220011000
11103210580
1261821220
1336772731
1421310d16
15144ad6a0
hexd1d19f8

220011000 has 256 divisors, whose sum is σ = 768268800. Its totient is φ = 51968000.

The previous prime is 220010951. The next prime is 220011047. The reversal of 220011000 is 110022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 220011000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1946944 + ... + 1947056.

It is an arithmetic number, because the mean of its divisors is an integer number (3001050).

Almost surely, 2220011000 is an apocalyptic number.

220011000 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 220011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384134400).

220011000 is an abundant number, since it is smaller than the sum of its proper divisors (548257800).

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

220011000 is a wasteful number, since it uses less digits than its factorization.

220011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 220011000 is about 14832.7677794807. The cubic root of 220011000 is about 603.6911348633.

Adding to 220011000 its reverse (110022), we get a palindrome (220121022).

It can be divided in two parts, 2 and 20011000, that added together give a palindrome (20011002).

The spelling of 220011000 in words is "two hundred twenty million, eleven thousand".