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202013312 = 2717243127
BaseRepresentation
bin11000000101001…
…11101010000000
3112002010100011112
430002213222000
5403203411222
632013502452
75002041044
oct1402475200
9462110145
10202013312
11a4038656
12577a1a28
1332b10807
141cb88024
1512b05be2
hexc0a7a80

202013312 has 96 divisors (see below), whose sum is σ = 440901120. Its totient is φ = 92123136.

The previous prime is 202013309. The next prime is 202013321. The reversal of 202013312 is 213310202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1590593 + ... + 1590719.

It is an arithmetic number, because the mean of its divisors is an integer number (4592720).

Almost surely, 2202013312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220450560).

202013312 is an abundant number, since it is smaller than the sum of its proper divisors (238887808).

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

202013312 is a wasteful number, since it uses less digits than its factorization.

202013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 202013312 is about 14213.1387103623. The cubic root of 202013312 is about 586.7593196180.

Adding to 202013312 its reverse (213310202), we get a palindrome (415323514).

The spelling of 202013312 in words is "two hundred two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 127 128 136 172 254 272 289 344 508 544 578 688 731 1016 1088 1156 1376 1462 2032 2159 2176 2312 2752 2924 4064 4318 4624 5461 5504 5848 8128 8636 9248 10922 11696 12427 16256 17272 18496 21844 23392 24854 34544 36703 36992 43688 46784 49708 69088 73406 87376 92837 93568 99416 138176 146812 174752 185674 198832 276352 293624 349504 371348 397664 587248 699008 742696 795328 1174496 1485392 1578229 1590656 2348992 2970784 3156458 4697984 5941568 6312916 11883136 12625832 25251664 50503328 101006656 202013312