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22123341240 = 233572111383317
BaseRepresentation
bin10100100110101001…
…110110010110111000
32010002210222011211220
4110212221312112320
5330302033404430
614055135552040
71412144204100
oct244651662670
963083864756
1022123341240
11942305a7a0
12435508b620
132117578980
1410dc2ca200
15897394110
hex526a765b8

22123341240 has 768 divisors, whose sum is σ = 92085880320. Its totient is φ = 4179087360.

The previous prime is 22123341181. The next prime is 22123341271. The reversal of 22123341240 is 4214332122.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22123341240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69789562 + ... + 69789878.

It is an arithmetic number, because the mean of its divisors is an integer number (119903490).

Almost surely, 222123341240 is an apocalyptic number.

22123341240 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 22123341240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46042940160).

22123341240 is an abundant number, since it is smaller than the sum of its proper divisors (69962539080).

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

22123341240 is a wasteful number, since it uses less digits than its factorization.

22123341240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22123341240 its reverse (4214332122), we get a palindrome (26337673362).

It can be divided in two parts, 22123 and 341240, that added together give a palindrome (363363).

The spelling of 22123341240 in words is "twenty-two billion, one hundred twenty-three million, three hundred forty-one thousand, two hundred forty".