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223083348489 = 3231325032
BaseRepresentation
bin1100111111000011001…
…1011100001000001001
3210022211001200021201100
43033300303130020021
512123333314122424
6250252202212013
722055133114051
oct3176063341011
9708731607640
10223083348489
1186677809611
123729a1b4009
1318062741871
14ab23aa8561
155c09c49dc9
hex33f0cdc209

223083348489 has 27 divisors (see below), whose sum is σ = 323908236327. Its totient is φ = 147952355616.

The previous prime is 223083348451. The next prime is 223083348491. The reversal of 223083348489 is 984843380322.

The square root of 223083348489 is 472317.

It is a perfect power (a square), and thus also a powerful number.

223083348489 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 83 + 3 + 484 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1423175625 + 221660172864 = 37725^2 + 470808^2 .

It is not a de Polignac number, because 223083348489 - 237 = 85644395017 is a prime.

It is a super-3 number, since 3×2230833484893 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223083348409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 443505412 + ... + 443505914.

Almost surely, 2223083348489 is an apocalyptic number.

223083348489 is the 472317-th square number.

223083348489 is the 236159-th centered octagonal number.

It is an amenable number.

223083348489 is a deficient number, since it is larger than the sum of its proper divisors (100824887838).

223083348489 is an frugal number, since it uses more digits than its factorization.

223083348489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 223083348489 in words is "two hundred twenty-three billion, eighty-three million, three hundred forty-eight thousand, four hundred eighty-nine".

Divisors: 1 3 9 313 503 939 1509 2817 4527 97969 157439 253009 293907 472317 759027 881721 1416951 2277081 49278407 79191817 147835221 237575451 443505663 712726353 24787038721 74361116163 223083348489