Search a number
-
+
220222222020 = 223253109393521
BaseRepresentation
bin1100110100011001000…
…1000110111011000100
3210001102122222000001100
43031012101012323010
512102003342101040
6245100234300100
721624212000343
oct3150621067304
9701378860040
10220222222020
1185439780989
123681bb87630
13179c7a61a18
14a931ad1b5a
155add988b30
hex3346446ec4

220222222020 has 72 divisors (see below), whose sum is σ = 668223967320. Its totient is φ = 58706887680.

The previous prime is 220222222009. The next prime is 220222222063. The reversal of 220222222020 is 20222222022.

220222222020 is a `hidden beast` number, since 2 + 202 + 222 + 220 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4799995524 + 215422226496 = 69282^2 + 464136^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220222221984 and 220222222002.

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 23 ways as a sum of consecutive naturals, for example, 362860 + ... + 756380.

It is an arithmetic number, because the mean of its divisors is an integer number (9280888435).

Almost surely, 2220222222020 is an apocalyptic number.

220222222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220222222020 is an abundant number, since it is smaller than the sum of its proper divisors (448001745300).

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

220222222020 is a wasteful number, since it uses less digits than its factorization.

220222222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396645 (or 396640 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 220222222020 its reverse (20222222022), we get a palindrome (240444444042).

The spelling of 220222222020 in words is "two hundred twenty billion, two hundred twenty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3109 6218 9327 12436 15545 18654 27981 31090 37308 46635 55962 62180 93270 111924 139905 186540 279810 393521 559620 787042 1180563 1574084 1967605 2361126 3541689 3935210 4722252 5902815 7083378 7870420 11805630 14166756 17708445 23611260 35416890 70833780 1223456789 2446913578 3670370367 4893827156 6117283945 7340740734 11011111101 12234567890 14681481468 18351851835 22022222202 24469135780 36703703670 44044444404 55055555505 73407407340 110111111010 220222222020