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8623223268 = 22311243138113
BaseRepresentation
bin10000000011111101…
…11111000111100100
3211020222010010111120
420001332333013210
5120130021121033
63543401333540
7423456121422
oct100176770744
924228103446
108623223268
113725648300
121807a972b0
13a756b029a
145bb378112
153570a41b3
hex201fbf1e4

8623223268 has 72 divisors (see below), whose sum is σ = 22630807584. Its totient is φ = 2552309760.

The previous prime is 8623223251. The next prime is 8623223269.

8623223268 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×86232232683 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8623223269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6621 + ... + 131492.

It is an arithmetic number, because the mean of its divisors is an integer number (314316772).

Almost surely, 28623223268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8623223268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11315403792).

8623223268 is an abundant number, since it is smaller than the sum of its proper divisors (14007584316).

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

8623223268 is a wasteful number, since it uses less digits than its factorization.

8623223268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138185 (or 138172 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 8623223268 is about 92861.3120088231. The cubic root of 8623223268 is about 2050.6421361770.

The spelling of 8623223268 in words is "eight billion, six hundred twenty-three million, two hundred twenty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 121 129 132 172 242 258 363 473 484 516 726 946 1419 1452 1892 2838 5203 5676 10406 15609 20812 31218 62436 138113 276226 414339 552452 828678 1519243 1657356 3038486 4557729 5938859 6076972 9115458 11877718 16711673 17816577 18230916 23755436 33423346 35633154 50135019 65327449 66846692 71266308 100270038 130654898 195982347 200540076 261309796 391964694 718601939 783929388 1437203878 2155805817 2874407756 4311611634 8623223268