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220203221000220 = 223354321791232083
BaseRepresentation
bin110010000100011000001110…
…110001000010000000011100
31001212200020000002021000101000
4302010120032301002000130
5212330302144034001340
62100155544014550300
764245105044336553
oct6204301661020034
91055606002230330
10220203221000220
1164188730628737
1220844a39208390
1395b40c7ca4073
143c53c6da56d9a
151a6ced0044d30
hexc8460ec4201c

220203221000220 has 288 divisors, whose sum is σ = 705298107628800. Its totient is φ = 57034790838144.

The previous prime is 220203221000209. The next prime is 220203221000227. The reversal of 220203221000220 is 22000122302022.

220203221000220 is a `hidden beast` number, since 2 + 2 + 0 + 20 + 322 + 100 + 0 + 220 = 666.

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 = 220203221000193 and 220203221000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220203221000227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178108299 + ... + 179340381.

It is an arithmetic number, because the mean of its divisors is an integer number (2448951762600).

Almost surely, 2220203221000220 is an apocalyptic number.

220203221000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220203221000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352649053814400).

220203221000220 is an abundant number, since it is smaller than the sum of its proper divisors (485094886628580).

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

220203221000220 is a wasteful number, since it uses less digits than its factorization.

220203221000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232366 (or 1232315 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 220203221000220 its reverse (22000122302022), we get a palindrome (242203343302242).

The spelling of 220203221000220 in words is "two hundred twenty trillion, two hundred three billion, two hundred twenty-one million, two hundred twenty", and thus it is an aban number.