Search a number
-
+
122324224440 = 233511374915101
BaseRepresentation
bin111000111101100010…
…1111000100110111000
3102200201222121110001010
41301323011320212320
54001010000140230
6132110040353520
711560210515645
oct1617305704670
9380658543033
10122324224440
1147971921370
121b85a1758a0
13b6c58916c2
145cc5cbcdcc
1532ae05e9b0
hex1c7b1789b8

122324224440 has 256 divisors, whose sum is σ = 412071805440. Its totient is φ = 28788480000.

The previous prime is 122324224433. The next prime is 122324224447. The reversal of 122324224440 is 44422423221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122324224433) and next prime (122324224447).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122324224398 and 122324224407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122324224447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23977890 + ... + 23982990.

It is an arithmetic number, because the mean of its divisors is an integer number (1609655490).

Almost surely, 2122324224440 is an apocalyptic number.

122324224440 is a gapful number since it is divisible by the number (10) 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 122324224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206035902720).

122324224440 is an abundant number, since it is smaller than the sum of its proper divisors (289747581000).

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

122324224440 is a wasteful number, since it uses less digits than its factorization.

122324224440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 122324224440 its reverse (44422423221), we get a palindrome (166746647661).

The spelling of 122324224440 in words is "one hundred twenty-two billion, three hundred twenty-four million, two hundred twenty-four thousand, four hundred forty".