Search a number
-
+
223320303000020 = 22511166015150001
BaseRepresentation
bin110010110001101111001111…
…010101001101100111010100
31002021201012201212222010120002
4302301233033111031213110
5213232334440032000040
62110543533024030432
765016234202226102
oct6261571725154724
91067635655863502
10223320303000020
116517a677105816
1221068b79762418
13977c0252b7495
143d20a90516c72
151ac4118496a15
hexcb1bcf54d9d4

223320303000020 has 12 divisors (see below), whose sum is σ = 468972636300084. Its totient is φ = 89328121200000.

The previous prime is 223320303000001. The next prime is 223320303000023. The reversal of 223320303000020 is 20000303023322.

It can be written as a sum of positive squares in 2 ways, for example, as 70510851761476 + 152809451238544 = 8397074^2 + 12361612^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 11166015150001 = 223320303000020 / (2 + 2 + 3 + 3 + 2 + 0 + 3 + 0 + 3 + 0 + 0 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 223320302999956 and 223320303000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223320303000023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5583007574981 + ... + 5583007575020.

It is an arithmetic number, because the mean of its divisors is an integer number (39081053025007).

Almost surely, 2223320303000020 is an apocalyptic number.

223320303000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223320303000020 is an abundant number, since it is smaller than the sum of its proper divisors (245652333300064).

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

223320303000020 is a wasteful number, since it uses less digits than its factorization.

223320303000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11166015150010 (or 11166015150008 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 223320303000020 its reverse (20000303023322), we get a palindrome (243320606023342).

The spelling of 223320303000020 in words is "two hundred twenty-three trillion, three hundred twenty billion, three hundred three million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 11166015150001 22332030300002 44664060600004 55830075750005 111660151500010 223320303000020