Search a number
-
+
23220130320 = 2432532250181
BaseRepresentation
bin10101101000000001…
…110001001000010000
32012221020202211121200
4111220001301020100
5340023323132240
614400035551200
71451262564642
oct255001611020
965836684550
1023220130320
119936181652
12460045b500
132260873caa
1411a3c30892
1590d7e3930
hex568071210

23220130320 has 60 divisors (see below), whose sum is σ = 77980940076. Its totient is φ = 6192034560.

The previous prime is 23220130279. The next prime is 23220130387. The reversal of 23220130320 is 2303102232.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11893211136 + 11326919184 = 109056^2 + 106428^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 23220130293 and 23220130302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16124371 + ... + 16125810.

Almost surely, 223220130320 is an apocalyptic number.

23220130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23220130320 is an abundant number, since it is smaller than the sum of its proper divisors (54760809756).

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

23220130320 is a wasteful number, since it uses less digits than its factorization.

23220130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32250200 (or 32250191 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23220130320 its reverse (2303102232), we get a palindrome (25523232552).

The spelling of 23220130320 in words is "twenty-three billion, two hundred twenty million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 32250181 64500362 96750543 129000724 161250905 193501086 258001448 290251629 322501810 387002172 483752715 516002896 580503258 645003620 774004344 967505430 1161006516 1290007240 1451258145 1548008688 1935010860 2322013032 2580014480 2902516290 3870021720 4644026064 5805032580 7740043440 11610065160 23220130320