Search a number
-
+
223104200020 = 225131575465561
BaseRepresentation
bin1100111111001000001…
…0111110110101010100
3210022212111220122122021
43033302002332311110
512123404133400040
6250254225142524
722055505260512
oct3176202766524
9708774818567
10223104200020
1186688560689
12372a518aa44
1318066b62750
14ab267754b2
155c0b9b824a
hex33f20bed54

223104200020 has 48 divisors (see below), whose sum is σ = 507772572048. Its totient is φ = 81852226560.

The previous prime is 223104199957. The next prime is 223104200029. The reversal of 223104200020 is 20002401322.

It can be written as a sum of positive squares in 8 ways, for example, as 5690891844 + 217413308176 = 75438^2 + 466276^2 .

It is a super-3 number, since 3×2231042000203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223104199967 and 223104200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223104200029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2691961 + ... + 2773600.

It is an arithmetic number, because the mean of its divisors is an integer number (10578595251).

Almost surely, 2223104200020 is an apocalyptic number.

223104200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223104200020 is an abundant number, since it is smaller than the sum of its proper divisors (284668372028).

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

223104200020 is a wasteful number, since it uses less digits than its factorization.

223104200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465740 (or 5465738 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 223104200020 its reverse (20002401322), we get a palindrome (243106601342).

The spelling of 223104200020 in words is "two hundred twenty-three billion, one hundred four million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 628 785 1570 2041 3140 4082 8164 10205 20410 40820 5465561 10931122 21862244 27327805 54655610 71052293 109311220 142104586 284209172 355261465 710522930 858093077 1421045860 1716186154 3432372308 4290465385 8580930770 11155210001 17161861540 22310420002 44620840004 55776050005 111552100010 223104200020