Search a number
-
+
22232302020 = 22325123512789
BaseRepresentation
bin10100101101001001…
…100000000111000100
32010101101222221221100
4110231021200013010
5331012432131040
614114031220100
71414636310025
oct245511400704
963341887840
1022232302020
119479611625
124385677630
132134008cc6
14110c970c4c
158a1c18b30
hex52d2601c4

22232302020 has 36 divisors (see below), whose sum is σ = 67437983340. Its totient is φ = 5928613824.

The previous prime is 22232302009. The next prime is 22232302031. The reversal of 22232302020 is 2020323222.

It is an interprime number because it is at equal distance from previous prime (22232302009) and next prime (22232302031).

It can be written as a sum of positive squares in 2 ways, for example, as 6568778304 + 15663523716 = 81048^2 + 125154^2 .

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

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 = 22232301984 and 22232302002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61756215 + ... + 61756574.

It is an arithmetic number, because the mean of its divisors is an integer number (1873277315).

Almost surely, 222232302020 is an apocalyptic number.

22232302020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22232302020 is an abundant number, since it is smaller than the sum of its proper divisors (45205681320).

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

22232302020 is a wasteful number, since it uses less digits than its factorization.

22232302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123512804 (or 123512799 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 22232302020 its reverse (2020323222), we get a palindrome (24252625242).

The spelling of 22232302020 in words is "twenty-two billion, two hundred thirty-two million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 123512789 247025578 370538367 494051156 617563945 741076734 1111615101 1235127890 1482153468 1852691835 2223230202 2470255780 3705383670 4446460404 5558075505 7410767340 11116151010 22232302020