Search a number
-
+
30522310224 = 2437294397751
BaseRepresentation
bin11100011011010001…
…010111111001010000
32220210011010000022020
4130123101113321100
51000002202411344
622004411011440
72130241233120
oct343321277120
986704100266
1030522310224
1111a4305947a
125ab9a39b80
132b5565bcc3
14169796ac80
15bd98ec719
hex71b457e50

30522310224 has 320 divisors, whose sum is σ = 96500490240. Its totient is φ = 8128512000.

The previous prime is 30522310199. The next prime is 30522310237. The reversal of 30522310224 is 42201322503.

It is a super-2 number, since 2×305223102242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30522310194 and 30522310203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40641849 + ... + 40642599.

It is an arithmetic number, because the mean of its divisors is an integer number (301564032).

Almost surely, 230522310224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30522310224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48250245120).

30522310224 is an abundant number, since it is smaller than the sum of its proper divisors (65978180016).

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

30522310224 is a wasteful number, since it uses less digits than its factorization.

30522310224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 30522310224 its reverse (42201322503), we get a palindrome (72723632727).

The spelling of 30522310224 in words is "thirty billion, five hundred twenty-two million, three hundred ten thousand, two hundred twenty-four".