Search a number
-
+
220418151720 = 233513672299209
BaseRepresentation
bin1100110101000111110…
…0100001010100101000
3210001221022122021001220
43031101330201110220
512102404021323340
6245131513542040
721632111243064
oct3152174412450
9701838567056
10220418151720
118552a333858
1236875714920
1317a29522460
14a94db34aa4
155b00c8bed0
hex3351f21528

220418151720 has 256 divisors, whose sum is σ = 725983776000. Its totient is φ = 53207801856.

The previous prime is 220418151671. The next prime is 220418151731. The reversal of 220418151720 is 27151814022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23930476 + ... + 23939684.

It is an arithmetic number, because the mean of its divisors is an integer number (2835874125).

Almost surely, 2220418151720 is an apocalyptic number.

220418151720 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 220418151720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362991888000).

220418151720 is an abundant number, since it is smaller than the sum of its proper divisors (505565624280).

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

220418151720 is a wasteful number, since it uses less digits than its factorization.

220418151720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9532 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

Adding to 220418151720 its reverse (27151814022), we get a palindrome (247569965742).

The spelling of 220418151720 in words is "two hundred twenty billion, four hundred eighteen million, one hundred fifty-one thousand, seven hundred twenty".