Search a number
-
+
220420668 = 223131937321
BaseRepresentation
bin11010010001101…
…01101000111100
3120100202112022110
431020311220330
5422411430133
633512214020
75314354566
oct1510655074
9510675273
10220420668
11103470346
126199a310
1336887040
14213ba336
151453ec63
hexd235a3c

220420668 has 48 divisors (see below), whose sum is σ = 556823456. Its totient is φ = 67461120.

The previous prime is 220420663. The next prime is 220420679. The reversal of 220420668 is 866024022.

220420668 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220420663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26448 + ... + 33768.

Almost surely, 2220420668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220420668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278411728).

220420668 is an abundant number, since it is smaller than the sum of its proper divisors (336402788).

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

220420668 is a wasteful number, since it uses less digits than its factorization.

220420668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534 (or 7532 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 220420668 is about 14846.5709172186. The cubic root of 220420668 is about 604.0656003775.

The spelling of 220420668 in words is "two hundred twenty million, four hundred twenty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 193 386 579 772 1158 2316 2509 5018 7321 7527 10036 14642 15054 21963 29284 30108 43926 87852 95173 190346 285519 380692 571038 1142076 1412953 2825906 4238859 5651812 8477718 16955436 18368389 36736778 55105167 73473556 110210334 220420668