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20224000220420 = 2256116577049361
BaseRepresentation
bin1001001100100110001000…
…10110010101110100000100
32122121101200100101201012202
410212103010112111310010
510122322223024023140
6111002435532134032
74155064402334663
oct446230426256404
978541610351182
1020224000220420
116497a4a982047
122327668907318
13b39165978669
144dcbbd9d4dda
15251115341915
hex1264c4595d04

20224000220420 has 24 divisors (see below), whose sum is σ = 43166636538648. Its totient is φ = 7956983692800.

The previous prime is 20224000220353. The next prime is 20224000220443. The reversal of 20224000220420 is 2402200042202.

It can be written as a sum of positive squares in 4 ways, for example, as 99158231236 + 20124841989184 = 314894^2 + 4486072^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20224000220392 and 20224000220401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8288523461 + ... + 8288525900.

It is an arithmetic number, because the mean of its divisors is an integer number (1798609855777).

Almost surely, 220224000220420 is an apocalyptic number.

20224000220420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20224000220420 is an abundant number, since it is smaller than the sum of its proper divisors (22942636318228).

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

20224000220420 is a wasteful number, since it uses less digits than its factorization.

20224000220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16577049431 (or 16577049429 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20224000220420 its reverse (2402200042202), we get a palindrome (22626200262622).

The spelling of 20224000220420 in words is "twenty trillion, two hundred twenty-four billion, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 16577049361 33154098722 66308197444 82885246805 165770493610 331540987220 1011200011021 2022400022042 4044800044084 5056000055105 10112000110210 20224000220420