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220233021222420 = 223251223516784569
BaseRepresentation
bin110010000100110011111110…
…111111110110111000010100
31001212210001220220122011010100
4302010303332333312320110
5212331244211413104140
62100221353033054100
764250211400135053
oct6204637677667024
91055701826564110
10220233021222420
116419a333020748
122084a775257330
1395b6b66b5c03b
143c5549973a39a
151a6db7635a530
hexc84cfeff6e14

220233021222420 has 36 divisors (see below), whose sum is σ = 668040164375220. Its totient is φ = 58728805659264.

The previous prime is 220233021222419. The next prime is 220233021222439. The reversal of 220233021222420 is 24222120332022.

220233021222420 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 3 + 3 + 0 + 212 + 22 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47816478182916 + 172416543039504 = 6914946^2 + 13130748^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2202330212224202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611758392105 + ... + 611758392464.

It is an arithmetic number, because the mean of its divisors is an integer number (18556671232645).

Almost surely, 2220233021222420 is an apocalyptic number.

220233021222420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220233021222420 is an abundant number, since it is smaller than the sum of its proper divisors (447807143152800).

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

220233021222420 is a wasteful number, since it uses less digits than its factorization.

220233021222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223516784584 (or 1223516784579 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 220233021222420 its reverse (24222120332022), we get a palindrome (244455141554442).

The spelling of 220233021222420 in words is "two hundred twenty trillion, two hundred thirty-three billion, twenty-one million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1223516784569 2447033569138 3670550353707 4894067138276 6117583922845 7341100707414 11011651061121 12235167845690 14682201414828 18352751768535 22023302122242 24470335691380 36705503537070 44046604244484 55058255305605 73411007074140 110116510611210 220233021222420