Search a number
-
+
23220231320 = 235111317317703
BaseRepresentation
bin10101101000000010…
…001001110010011000
32012221020221222011102
4111220002021302120
5340023334400240
614400042050532
71451263465256
oct255002116230
965836858142
1023220231320
119936240520
1246004a9a48
1322608aac60
1411a3c595d6
1590d813815
hex568089c98

23220231320 has 256 divisors, whose sum is σ = 67095060480. Its totient is φ = 7098163200.

The previous prime is 23220231313. The next prime is 23220231343. The reversal of 23220231320 is 2313202232.

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 = 23220231292 and 23220231301.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3010589 + ... + 3018291.

It is an arithmetic number, because the mean of its divisors is an integer number (262090080).

Almost surely, 223220231320 is an apocalyptic number.

23220231320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23220231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33547530240).

23220231320 is an abundant number, since it is smaller than the sum of its proper divisors (43874829160).

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

23220231320 is a wasteful number, since it uses less digits than its factorization.

23220231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7786 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23220231320 its reverse (2313202232), we get a palindrome (25533433552).

The spelling of 23220231320 in words is "twenty-three billion, two hundred twenty million, two hundred thirty-one thousand, three hundred twenty".