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22226025161340 = 2232571113187765719
BaseRepresentation
bin1010000110110111001100…
…10101011010001001111100
32220200210020220112012220200
411003123212111122021330
510403122344420130330
6115134254530443500
74452530423502630
oct503334625321174
986623226465820
1022226025161340
11709a005854a20
1225ab676a33590
13c52b9c8aa410
1456ba61392dc0
1528823aeaba60
hex1436e655a27c

22226025161340 has 576 divisors, whose sum is σ = 90570143139840. Its totient is φ = 4260797614080.

The previous prime is 22226025161293. The next prime is 22226025161341. The reversal of 22226025161340 is 4316152062222.

22226025161340 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 6 + 0 + 2 + 516 + 134 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22226025161295 and 22226025161304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22226025161341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 338165001 + ... + 338230719.

It is an arithmetic number, because the mean of its divisors is an integer number (157239831840).

Almost surely, 222226025161340 is an apocalyptic number.

22226025161340 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 22226025161340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45285071569920).

22226025161340 is an abundant number, since it is smaller than the sum of its proper divisors (68344117978500).

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

22226025161340 is a wasteful number, since it uses less digits than its factorization.

22226025161340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67642 (or 67637 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 22226025161340 in words is "twenty-two trillion, two hundred twenty-six billion, twenty-five million, one hundred sixty-one thousand, three hundred forty".