Search a number
-
+
220221323020 = 225191397145213
BaseRepresentation
bin1100110100011000110…
…1101011011100001100
3210001102121021022212001
43031012031223130030
512102003124314040
6245100203122044
721624201234346
oct3150615533414
9701377238761
10220221323020
1185439217506
123681b813324
13179c780877a
14a93193a296
155add85c59a
hex334636b70c

220221323020 has 48 divisors (see below), whose sum is σ = 466060267008. Its totient is φ = 87406007040.

The previous prime is 220221323009. The next prime is 220221323029. The reversal of 220221323020 is 20323122022.

220221323020 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 super-2 number, since 2×2202213230202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220221323029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443934 + ... + 1589146.

It is an arithmetic number, because the mean of its divisors is an integer number (9709588896).

Almost surely, 2220221323020 is an apocalyptic number.

220221323020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221323020 is an abundant number, since it is smaller than the sum of its proper divisors (245838943988).

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

220221323020 is a wasteful number, since it uses less digits than its factorization.

220221323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145810 (or 145808 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 220221323020 its reverse (20323122022), we get a palindrome (240544445042).

The spelling of 220221323020 in words is "two hundred twenty billion, two hundred twenty-one million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 191 382 397 764 794 955 1588 1910 1985 3820 3970 7940 75827 145213 151654 290426 303308 379135 580852 726065 758270 1452130 1516540 2904260 27735683 55471366 57649561 110942732 115299122 138678415 230598244 277356830 288247805 554713660 576495610 1152991220 11011066151 22022132302 44044264604 55055330755 110110661510 220221323020