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20221222200032 = 257201144889763
BaseRepresentation
bin1001001100100000111101…
…10001000010001011100000
32122121010111202001122122202
410212100132301002023200
510122301030340400112
6111001300133352332
74154635510502120
oct446203661021340
978533452048582
1020221222200032
116496854847227
1223270124986a8
13b38b12275909
144dc9d8a92c80
152510014e96c2
hex12641ec422e0

20221222200032 has 48 divisors (see below), whose sum is σ = 45520375404672. Its totient is φ = 8661928475520.

The previous prime is 20221222199977. The next prime is 20221222200097. The reversal of 20221222200032 is 23000222212202.

It is a junction number, because it is equal to n+sod(n) for n = 20221222199977 and 20221222200013.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21994418 + ... + 22895345.

It is an arithmetic number, because the mean of its divisors is an integer number (948341154264).

Almost surely, 220221222200032 is an apocalyptic number.

It is an amenable number.

20221222200032 is an abundant number, since it is smaller than the sum of its proper divisors (25299153204640).

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

20221222200032 is a wasteful number, since it uses less digits than its factorization.

20221222200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44891791 (or 44891783 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20221222200032 its reverse (23000222212202), we get a palindrome (43221444412234).

The spelling of 20221222200032 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2011 4022 8044 14077 16088 28154 32176 56308 64352 112616 225232 450464 44889763 89779526 179559052 314228341 359118104 628456682 718236208 1256913364 1436472416 2513826728 5027653456 10055306912 90273313393 180546626786 361093253572 631913193751 722186507144 1263826387502 1444373014288 2527652775004 2888746028576 5055305550008 10110611100016 20221222200032