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22140242124 = 223721113733607
BaseRepresentation
bin10100100111101010…
…010100100011001100
32010010222202211111120
4110213222110203030
5330320400221444
614100542120540
71412440644600
oct244752244314
963128684446
1022140242124
119431653670
12435a880150
13211ac155b0
141100649500
15898ad1b19
hex527a948cc

22140242124 has 288 divisors, whose sum is σ = 71588030976. Its totient is φ = 5234181120.

The previous prime is 22140242123. The next prime is 22140242141. The reversal of 22140242124 is 42124204122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22140242094 and 22140242103.

It is not an unprimeable number, because it can be changed into a prime (22140242123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6136329 + ... + 6139935.

It is an arithmetic number, because the mean of its divisors is an integer number (248569552).

Almost surely, 222140242124 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 22140242124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35794015488).

22140242124 is an abundant number, since it is smaller than the sum of its proper divisors (49447788852).

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

22140242124 is a wasteful number, since it uses less digits than its factorization.

22140242124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22140242124 its reverse (42124204122), we get a palindrome (64264446246).

The spelling of 22140242124 in words is "twenty-two billion, one hundred forty million, two hundred forty-two thousand, one hundred twenty-four".