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202519993 = 13193126449
BaseRepresentation
bin11000001001000…
…11010110111001
3112010002002012111
430010203112321
5403321114433
632032412321
75006251204
oct1404432671
9463062174
10202519993
11a43542a5
12579a70a1
1332c5a320
141cc7a93b
1512ba5dcd
hexc1235b9

202519993 has 16 divisors (see below), whose sum is σ = 236992000. Its totient is φ = 171383040.

The previous prime is 202519987. The next prime is 202520009. The reversal of 202519993 is 399915202.

It is not a de Polignac number, because 202519993 - 213 = 202511801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202519913) 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 15 ways as a sum of consecutive naturals, for example, 5568 + ... + 20881.

It is an arithmetic number, because the mean of its divisors is an integer number (14812000).

Almost surely, 2202519993 is an apocalyptic number.

It is an amenable number.

202519993 is a deficient number, since it is larger than the sum of its proper divisors (34472007).

202519993 is a wasteful number, since it uses less digits than its factorization.

202519993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26512.

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 202519993 is about 14230.9519358334. The cubic root of 202519993 is about 587.2494714526.

The spelling of 202519993 in words is "two hundred two million, five hundred nineteen thousand, nine hundred ninety-three".

Divisors: 1 13 19 31 247 403 589 7657 26449 343837 502531 819919 6532903 10658947 15578461 202519993