Search a number
-
+
220827222 = 2367211281
BaseRepresentation
bin11010010100110…
…00111001010110
3120101112012000000
431022120321112
5423012432342
633525032130
75321000100
oct1512307126
9511465000
10220827222
11103718840
1261b55646
133699a0c5
1421484570
15145c044c
hexd298e56

220827222 has 168 divisors, whose sum is σ = 632479752. Its totient is φ = 57153600.

The previous prime is 220827221. The next prime is 220827239. The reversal of 220827222 is 222728022.

220827222 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220827221) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 785722 + ... + 786002.

Almost surely, 2220827222 is an apocalyptic number.

220827222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220827222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316239876).

220827222 is an abundant number, since it is smaller than the sum of its proper divisors (411652530).

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

220827222 is a wasteful number, since it uses less digits than its factorization.

220827222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 220827222 is about 14860.2564580831. The cubic root of 220827222 is about 604.4367610514.

The spelling of 220827222 in words is "two hundred twenty million, eight hundred twenty-seven thousand, two hundred twenty-two".