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302222142 = 232371074241
BaseRepresentation
bin10010000000111…
…000101100111110
3210001200110211200
4102000320230332
51104332102032
645553400330
710326563055
oct2200705476
9701613750
10302222142
11145661a72
12852690a6
134a7c8391
142c1d139c
151b7ec47c
hex12038b3e

302222142 has 48 divisors (see below), whose sum is σ = 678957552. Its totient is φ = 97079040.

The previous prime is 302222119. The next prime is 302222143. The reversal of 302222142 is 241222203.

302222142 is a `hidden beast` number, since 302 + 222 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302222143) 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, 69142 + ... + 73382.

It is an arithmetic number, because the mean of its divisors is an integer number (14144949).

Almost surely, 2302222142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302222142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339478776).

302222142 is an abundant number, since it is smaller than the sum of its proper divisors (376735410).

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

302222142 is a wasteful number, since it uses less digits than its factorization.

302222142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 302222142 is about 17384.5374399206. The cubic root of 302222142 is about 671.0817469958.

Adding to 302222142 its reverse (241222203), we get a palindrome (543444345).

The spelling of 302222142 in words is "three hundred two million, two hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 107 111 214 222 321 333 642 666 963 1926 3959 4241 7918 8482 11877 12723 23754 25446 35631 38169 71262 76338 156917 313834 453787 470751 907574 941502 1361361 1412253 2722722 2824506 4084083 8168166 16790119 33580238 50370357 100740714 151111071 302222142