Search a number
-
+
22330298760 = 23357115940961
BaseRepresentation
bin10100110010111111…
…010101000110001000
32010122020101201012020
4110302333111012020
5331213024030020
614131451444440
71420236256560
oct246277250610
963566351166
1022330298760
119519964a70
1243b2456720
13214b3caa43
14111b99dda0
158aa624c40
hex532fd5188

22330298760 has 256 divisors, whose sum is σ = 84938803200. Its totient is φ = 4561305600.

The previous prime is 22330298743. The next prime is 22330298761. The reversal of 22330298760 is 6789203322.

It is a super-3 number, since 3×223302987603 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (22330298761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 524680 + ... + 565640.

It is an arithmetic number, because the mean of its divisors is an integer number (331792200).

Almost surely, 222330298760 is an apocalyptic number.

22330298760 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 22330298760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42469401600).

22330298760 is an abundant number, since it is smaller than the sum of its proper divisors (62608504440).

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

22330298760 is a wasteful number, since it uses less digits than its factorization.

22330298760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41052 (or 41048 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 22330298760 in words is "twenty-two billion, three hundred thirty million, two hundred ninety-eight thousand, seven hundred sixty".