Search a number
-
+
220044000 = 25353111667
BaseRepresentation
bin11010001110110…
…01101011100000
3120100001101121210
431013121223200
5422312402000
633500150120
75311225461
oct1507315340
9510041553
10220044000
11103233350
1261838340
1336784767
142131cd68
15144b8350
hexd1d9ae0

220044000 has 192 divisors, whose sum is σ = 786868992. Its totient is φ = 53312000.

The previous prime is 220043987. The next prime is 220044001. The reversal of 220044000 is 440022.

220044000 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 (12).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (220044001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131167 + ... + 132833.

It is an arithmetic number, because the mean of its divisors is an integer number (4098276).

Almost surely, 2220044000 is an apocalyptic number.

220044000 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 220044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393434496).

220044000 is an abundant number, since it is smaller than the sum of its proper divisors (566824992).

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

220044000 is a wasteful number, since it uses less digits than its factorization.

220044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 220044000 is about 14833.8801397342. The cubic root of 220044000 is about 603.7213164020.

Adding to 220044000 its reverse (440022), we get a palindrome (220484022).

It can be divided in two parts, 2 and 20044000, that added together give a palindrome (20044002).

The spelling of 220044000 in words is "two hundred twenty million, forty-four thousand".