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238222290 = 2353128263
BaseRepresentation
bin11100011001011…
…11101111010010
3121121020221112210
432030233233102
5441441103130
635345532550
75621566425
oct1614575722
9547227483
10238222290
11112519a29
1267944156
133a47a947
14238d19bc
1515da95b0
hexe32fbd2

238222290 has 48 divisors (see below), whose sum is σ = 590842944. Its totient is φ = 61469280.

The previous prime is 238222289. The next prime is 238222291. The reversal of 238222290 is 92222832.

It is an interprime number because it is at equal distance from previous prime (238222289) and next prime (238222291).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238222291) 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 23 ways as a sum of consecutive naturals, for example, 24699 + ... + 32961.

It is an arithmetic number, because the mean of its divisors is an integer number (12309228).

Almost surely, 2238222290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238222290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295421472).

238222290 is an abundant number, since it is smaller than the sum of its proper divisors (352620654).

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

238222290 is a wasteful number, since it uses less digits than its factorization.

238222290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 238222290 is about 15434.4513993857. The cubic root of 238222290 is about 619.9083197771.

The spelling of 238222290 in words is "two hundred thirty-eight million, two hundred twenty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 961 1922 2883 4805 5766 8263 9610 14415 16526 24789 28830 41315 49578 82630 123945 247890 256153 512306 768459 1280765 1536918 2561530 3842295 7684590 7940743 15881486 23822229 39703715 47644458 79407430 119111145 238222290