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22000220020 = 2252414619901
BaseRepresentation
bin10100011111010100…
…001011011101110100
32002210020021222021201
4110133110023131310
5330024024020040
614035021022244
71406120533102
oct243724133564
962706258251
1022000220020
11936a606a19
12431b9b4984
1320c7bcb18c
1410c9bdac72
1588b673a9a
hex51f50b774

22000220020 has 48 divisors (see below), whose sum is σ = 46497494736. Its totient is φ = 8743680000.

The previous prime is 22000219999. The next prime is 22000220051. The reversal of 22000220020 is 2002200022.

It can be written as a sum of positive squares in 8 ways, for example, as 1469342224 + 20530877796 = 38332^2 + 143286^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22000219979 and 22000220006.

It is a congruent number.

It is an unprimeable number.

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, 2217070 + ... + 2226970.

It is an arithmetic number, because the mean of its divisors is an integer number (968697807).

Almost surely, 222000220020 is an apocalyptic number.

22000220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000220020 is an abundant number, since it is smaller than the sum of its proper divisors (24497274716).

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

22000220020 is a wasteful number, since it uses less digits than its factorization.

22000220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 22000220020 its reverse (2002200022), we get a palindrome (24002420042).

The spelling of 22000220020 in words is "twenty-two billion, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 241 461 482 922 964 1205 1844 2305 2410 4610 4820 9220 9901 19802 39604 49505 99010 111101 198020 222202 444404 555505 1111010 2222020 2386141 4564361 4772282 9128722 9544564 11930705 18257444 22821805 23861410 45643610 47722820 91287220 1100011001 2200022002 4400044004 5500055005 11000110010 22000220020