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22340032003104 = 2534115746397793
BaseRepresentation
bin1010001010001011100011…
…01010111111110000100000
32221002200112020111211212120
411011011301222333300200
510412004341143044404
6115302511413024240
74464004550613534
oct505056152776040
987080466454776
1022340032003104
117133399731602
122609793625080
13c6086b252bba
1457339878bbc4
1528b1aec2b9d9
hex145171abfc20

22340032003104 has 192 divisors, whose sum is σ = 60476312171520. Its totient is φ = 7216294625280.

The previous prime is 22340032003087. The next prime is 22340032003109. The reversal of 22340032003104 is 40130023004322.

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

It is not an unprimeable number, because it can be changed into a prime (22340032003109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2866675432 + ... + 2866683224.

It is an arithmetic number, because the mean of its divisors is an integer number (314980792560).

Almost surely, 222340032003104 is an apocalyptic number.

22340032003104 is a gapful number since it is divisible by the number (24) 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 22340032003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30238156085760).

22340032003104 is an abundant number, since it is smaller than the sum of its proper divisors (38136280168416).

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

22340032003104 is a wasteful number, since it uses less digits than its factorization.

22340032003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12643 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22340032003104 its reverse (40130023004322), we get a palindrome (62470055007426).

The spelling of 22340032003104 in words is "twenty-two trillion, three hundred forty billion, thirty-two million, three thousand, one hundred four".