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223002013 = 1327976133
BaseRepresentation
bin11010100101010…
…11110110011101
3120112121200020211
431102223312131
5424042031023
634043412421
75345325433
oct1522536635
9515550224
10223002013
11104973793
1262824111
133727bc70
142188cd53
151489ea0d
hexd4abd9d

223002013 has 8 divisors (see below), whose sum is σ = 240281048. Its totient is φ = 205740864.

The previous prime is 223002001. The next prime is 223002023. The reversal of 223002013 is 310200322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76422564 + 146579449 = 8742^2 + 12107^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 223002013 - 217 = 222870941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223001984 and 223002002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223002023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33295 + ... + 39427.

It is an arithmetic number, because the mean of its divisors is an integer number (30035131).

Almost surely, 2223002013 is an apocalyptic number.

It is an amenable number.

223002013 is a deficient number, since it is larger than the sum of its proper divisors (17279035).

223002013 is a wasteful number, since it uses less digits than its factorization.

223002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8943.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 223002013 is about 14933.2519231412. The cubic root of 223002013 is about 606.4145241220.

Adding to 223002013 its reverse (310200322), we get a palindrome (533202335).

The spelling of 223002013 in words is "two hundred twenty-three million, two thousand, thirteen".

Divisors: 1 13 2797 6133 36361 79729 17154001 223002013