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222122313 = 32717871973
BaseRepresentation
bin11010011110101…
…01000101001001
3120110221222112100
431033111011021
5423330403223
634012504013
75335002630
oct1517250511
9513858470
10222122313
11104422866
126247b009
133703172a
1421700517
1514779043
hexd3d5149

222122313 has 24 divisors (see below), whose sum is σ = 367069248. Its totient is φ = 126791712.

The previous prime is 222122309. The next prime is 222122333. The reversal of 222122313 is 313221222.

222122313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 222122313 - 22 = 222122309 is a prime.

It is a super-4 number, since 4×2221223134 (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (222122333) 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, 111595 + ... + 113567.

It is an arithmetic number, because the mean of its divisors is an integer number (15294552).

Almost surely, 2222122313 is an apocalyptic number.

It is an amenable number.

222122313 is a deficient number, since it is larger than the sum of its proper divisors (144946935).

222122313 is a wasteful number, since it uses less digits than its factorization.

222122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3773 (or 3770 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 222122313 is about 14903.7684160752. The cubic root of 222122313 is about 605.6160771178.

Adding to 222122313 its reverse (313221222), we get a palindrome (535343535).

The spelling of 222122313 in words is "two hundred twenty-two million, one hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 63 1787 1973 5361 5919 12509 13811 16083 17757 37527 41433 112581 124299 3525751 10577253 24680257 31731759 74040771 222122313