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222413031 = 32193735153
BaseRepresentation
bin11010100000111…
…00000011100111
3120111111202022200
431100130003213
5423414204111
634023025543
75340323331
oct1520340347
9514452280
10222413031
11104601225
126259b2b3
1337103b59
1421778451
15147d5256
hexd41c0e7

222413031 has 24 divisors (see below), whose sum is σ = 347321520. Its totient is φ = 136670976.

The previous prime is 222413029. The next prime is 222413033. The reversal of 222413031 is 130314222.

222413031 is a `hidden beast` number, since 222 + 413 + 0 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (222413029) and next prime (222413033).

It is not a de Polignac number, because 222413031 - 21 = 222413029 is a prime.

It is a super-2 number, since 2×2224130312 = 98935112717213922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222412995 and 222413013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222413033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11250 + ... + 23903.

It is an arithmetic number, because the mean of its divisors is an integer number (14471730).

Almost surely, 2222413031 is an apocalyptic number.

222413031 is a deficient number, since it is larger than the sum of its proper divisors (124908489).

222413031 is a wasteful number, since it uses less digits than its factorization.

222413031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35215 (or 35212 counting only the distinct ones).

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

The square root of 222413031 is about 14913.5183977491. The cubic root of 222413031 is about 605.8801759625.

Adding to 222413031 its reverse (130314222), we get a palindrome (352727253).

The spelling of 222413031 in words is "two hundred twenty-two million, four hundred thirteen thousand, thirty-one".

Divisors: 1 3 9 19 37 57 111 171 333 703 2109 6327 35153 105459 316377 667907 1300661 2003721 3901983 6011163 11705949 24712559 74137677 222413031