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22023200320 = 265112718011
BaseRepresentation
bin10100100000101011…
…110101111001000000
32002211211112111022221
4110200223311321000
5330100414402240
614041201340424
71406520054052
oct244053657100
962754474287
1022023200320
119381582400
124327637714
1320cc8b5ca4
1410ccc9d8d2
1588d6b2a4a
hex520af5e40

22023200320 has 168 divisors, whose sum is σ = 58462858944. Its totient is φ = 7894656000.

The previous prime is 22023200191. The next prime is 22023200351. The reversal of 22023200320 is 2300232022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22023200294 and 22023200303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2745115 + ... + 2753125.

It is an arithmetic number, because the mean of its divisors is an integer number (347993208).

Almost surely, 222023200320 is an apocalyptic number.

22023200320 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 22023200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29231429472).

22023200320 is an abundant number, since it is smaller than the sum of its proper divisors (36439658624).

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

22023200320 is a wasteful number, since it uses less digits than its factorization.

22023200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8121 (or 8100 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 22023200320 its reverse (2300232022), we get a palindrome (24323432342).

The spelling of 22023200320 in words is "twenty-two billion, twenty-three million, two hundred thousand, three hundred twenty".