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22300289440 = 25511131079109
BaseRepresentation
bin10100110001001100…
…110110100110100000
32010120010221002010221
4110301030312212200
5331132333230230
614124500332424
71416423222052
oct246114664640
963503832127
1022300289440
119503a28580
1243a43a4114
132145121750
1411179cb8d2
158a7b9827a
hex5313369a0

22300289440 has 192 divisors, whose sum is σ = 62480315520. Its totient is φ = 7414640640.

The previous prime is 22300289419. The next prime is 22300289449. The reversal of 22300289440 is 4498200322.

It is a junction number, because it is equal to n+sod(n) for n = 22300289396 and 22300289405.

It is not an unprimeable number, because it can be changed into a prime (22300289449) 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, 2443606 + ... + 2452714.

It is an arithmetic number, because the mean of its divisors is an integer number (325418310).

Almost surely, 222300289440 is an apocalyptic number.

22300289440 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 22300289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31240157760).

22300289440 is an abundant number, since it is smaller than the sum of its proper divisors (40180026080).

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

22300289440 is a wasteful number, since it uses less digits than its factorization.

22300289440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255 (or 9247 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 22300289440 its reverse (4498200322), we get a palindrome (26798489762).

The spelling of 22300289440 in words is "twenty-two billion, three hundred million, two hundred eighty-nine thousand, four hundred forty".