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22234354140 = 22355911175623
BaseRepresentation
bin10100101101010001…
…010101000111011100
32010101112212012220210
4110231101111013130
5331013443313030
614114143212420
71414662614625
oct245521250734
963345765823
1022234354140
11947a793399
1243862a7110
13213457708b
14110cd46a4c
158a1ec1bb0
hex52d4551dc

22234354140 has 96 divisors (see below), whose sum is σ = 63379330560. Its totient is φ = 5822413056.

The previous prime is 22234354139. The next prime is 22234354141. The reversal of 22234354140 is 4145343222.

It is an interprime number because it is at equal distance from previous prime (22234354139) and next prime (22234354141).

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 = 22234354098 and 22234354107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22234354141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3951369 + ... + 3956991.

It is an arithmetic number, because the mean of its divisors is an integer number (660201360).

Almost surely, 222234354140 is an apocalyptic number.

22234354140 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 22234354140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31689665280).

22234354140 is an abundant number, since it is smaller than the sum of its proper divisors (41144976420).

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

22234354140 is a wasteful number, since it uses less digits than its factorization.

22234354140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6811 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 22234354140 its reverse (4145343222), we get a palindrome (26379697362).

The spelling of 22234354140 in words is "twenty-two billion, two hundred thirty-four million, three hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1117 1180 1770 2234 3351 3540 4468 5585 5623 6702 11170 11246 13404 16755 16869 22340 22492 28115 33510 33738 56230 65903 67020 67476 84345 112460 131806 168690 197709 263612 329515 331757 337380 395418 659030 663514 790836 988545 995271 1318060 1327028 1658785 1977090 1990542 3317570 3954180 3981084 4976355 6280891 6635140 9952710 12561782 18842673 19905420 25123564 31404455 37685346 62808910 75370692 94213365 125617820 188426730 370572569 376853460 741145138 1111717707 1482290276 1852862845 2223435414 3705725690 4446870828 5558588535 7411451380 11117177070 22234354140