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234420300020 = 22519949587549
BaseRepresentation
bin1101101001010010001…
…0011110100011110100
3211102002011011002120002
43122110202132203310
512320043044100040
6255405144330432
722636103446634
oct3322442364364
9742064132502
10234420300020
119046516a045
1239522a73a18
131914b4040ca
14b4bb60a6c4
156170196a15
hex369489e8f4

234420300020 has 24 divisors (see below), whose sum is σ = 492308145000. Its totient is φ = 93763260032.

The previous prime is 234420300007. The next prime is 234420300031. The reversal of 234420300020 is 20003024432.

234420300020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14836214416 + 219584085604 = 121804^2 + 468598^2 .

It is a super-2 number, since 2×2344203000202 (a number of 24 digits) contains 22 as substring.

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 = 234420299965 and 234420300001.

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 7 ways as a sum of consecutive naturals, for example, 105206 + ... + 692754.

It is an arithmetic number, because the mean of its divisors is an integer number (20512839375).

Almost surely, 2234420300020 is an apocalyptic number.

234420300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234420300020 is an abundant number, since it is smaller than the sum of its proper divisors (257887844980).

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

234420300020 is a wasteful number, since it uses less digits than its factorization.

234420300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607507 (or 607505 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 234420300020 its reverse (20003024432), we get a palindrome (254423324452).

The spelling of 234420300020 in words is "two hundred thirty-four billion, four hundred twenty million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 19949 39898 79796 99745 199490 398980 587549 1175098 2350196 2937745 5875490 11750980 11721015001 23442030002 46884060004 58605075005 117210150010 234420300020