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223212000331 = 6713959940013
BaseRepresentation
bin1100111111100001111…
…0001101010001001011
3210100011000202110212101
43033320132031101023
512124114233002311
6250313035454231
722061254461235
oct3177036152113
9710130673771
10223212000331
118673339a651
12373152b7377
13180832a7808
14ab36bd7255
155c161adec1
hex33f878d44b

223212000331 has 16 divisors (see below), whose sum is σ = 228559968000. Its totient is φ = 217928719008.

The previous prime is 223212000301. The next prime is 223212000367. The reversal of 223212000331 is 133000212322.

It is a cyclic number.

It is not a de Polignac number, because 223212000331 - 25 = 223212000299 is a prime.

It is a super-3 number, since 3×2232120003313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223212000299 and 223212000308.

It is not an unprimeable number, because it can be changed into a prime (223212000301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5558481 + ... + 5598493.

It is an arithmetic number, because the mean of its divisors is an integer number (14284998000).

Almost surely, 2223212000331 is an apocalyptic number.

223212000331 is a deficient number, since it is larger than the sum of its proper divisors (5347967669).

223212000331 is a wasteful number, since it uses less digits than its factorization.

223212000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40818.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 223212000331 its reverse (133000212322), we get a palindrome (356212212653).

The spelling of 223212000331 in words is "two hundred twenty-three billion, two hundred twelve million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 67 139 599 9313 40013 40133 83261 2680871 5561807 5578487 23967787 372641069 1605841729 3331522393 223212000331