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223001620 = 22527740253
BaseRepresentation
bin11010100101010…
…11110000010100
3120112121122201021
431102223300110
5424042022440
634043410524
75345324332
oct1522536024
9515548637
10223001620
11104973466
1262823a44
133727ba2a
142188cb52
151489e84a
hexd4abc14

223001620 has 24 divisors (see below), whose sum is σ = 470005704. Its totient is φ = 88876416.

The previous prime is 223001591. The next prime is 223001633. The reversal of 223001620 is 26100322.

It can be written as a sum of positive squares in 4 ways, for example, as 25542916 + 197458704 = 5054^2 + 14052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 223001594 and 223001603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14587 + ... + 25666.

It is an arithmetic number, because the mean of its divisors is an integer number (19583571).

Almost surely, 2223001620 is an apocalyptic number.

223001620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223001620 is an abundant number, since it is smaller than the sum of its proper divisors (247004084).

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

223001620 is a wasteful number, since it uses less digits than its factorization.

223001620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40539 (or 40537 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 223001620 is about 14933.2387645815. The cubic root of 223001620 is about 606.4141678904.

Adding to 223001620 its reverse (26100322), we get a palindrome (249101942).

The spelling of 223001620 in words is "two hundred twenty-three million, one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 40253 80506 161012 201265 402530 805060 11150081 22300162 44600324 55750405 111500810 223001620