Search a number
-
+
221120220 = 22353685337
BaseRepresentation
bin11010010111000…
…00011011011100
3120102002001220210
431023200123130
5423101321340
633535212420
75323330236
oct1513403334
9512061823
10221120220
111038a8992
1262077110
1336a70589
142151d256
151462c180
hexd2e06dc

221120220 has 24 divisors (see below), whose sum is σ = 619136784. Its totient is φ = 58965376.

The previous prime is 221120219. The next prime is 221120231. The reversal of 221120220 is 22021122.

221120220 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 junction number, because it is equal to n+sod(n) for n = 221120196 and 221120205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1842609 + ... + 1842728.

It is an arithmetic number, because the mean of its divisors is an integer number (25797366).

Almost surely, 2221120220 is an apocalyptic number.

221120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120220 is an abundant number, since it is smaller than the sum of its proper divisors (398016564).

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

221120220 is a wasteful number, since it uses less digits than its factorization.

221120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685349 (or 3685347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 221120220 is about 14870.1116337437. Note that the first 3 decimals coincide. The cubic root of 221120220 is about 604.7039691914.

Adding to 221120220 its reverse (22021122), we get a palindrome (243141342).

The spelling of 221120220 in words is "two hundred twenty-one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3685337 7370674 11056011 14741348 18426685 22112022 36853370 44224044 55280055 73706740 110560110 221120220