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202242242202 = 2372111323773137
BaseRepresentation
bin1011110001011010010…
…0111011011010011010
3201100000121110101112220
42330112210323122122
511303143003222302
6232524145044510
720416515460200
oct2742644733232
9640017411486
10202242242202
1178852522a30
1233242626736
13160c0a20b00
149b07bd7070
1553da2374bc
hex2f1693b69a

202242242202 has 576 divisors, whose sum is σ = 582884947584. Its totient is φ = 46193172480.

The previous prime is 202242242161. The next prime is 202242242219.

202242242202 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1476220678 + ... + 1476220814.

It is an arithmetic number, because the mean of its divisors is an integer number (1011953034).

Almost surely, 2202242242202 is an apocalyptic number.

202242242202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202242242202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291442473792).

202242242202 is an abundant number, since it is smaller than the sum of its proper divisors (380642705382).

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

202242242202 is a wasteful number, since it uses less digits than its factorization.

202242242202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 202242 and 242202, that added together give a palindrome (444444).

The spelling of 202242242202 in words is "two hundred two billion, two hundred forty-two million, two hundred forty-two thousand, two hundred two".