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202430217 = 31123117989
BaseRepresentation
bin11000001000011…
…01011100001001
3112002220112001110
430010031130021
5403310231332
632030440533
75005425363
oct1404153411
9462815043
10202430217
11a42a2900
1257963149
1332c284c2
141cc55d33
1512b894cc
hexc10d709

202430217 has 24 divisors (see below), whose sum is σ = 306261760. Its totient is φ = 118720800.

The previous prime is 202430191. The next prime is 202430231. The reversal of 202430217 is 712034202.

It is not a de Polignac number, because 202430217 - 27 = 202430089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202430193 and 202430202.

It is not an unprimeable number, because it can be changed into a prime (202430297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2259 + ... + 20247.

Almost surely, 2202430217 is an apocalyptic number.

It is an amenable number.

202430217 is a deficient number, since it is larger than the sum of its proper divisors (103831543).

202430217 is a wasteful number, since it uses less digits than its factorization.

202430217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18045 (or 18034 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 202430217 is about 14227.7973347950. The cubic root of 202430217 is about 587.1626838060.

Adding to 202430217 its reverse (712034202), we get a palindrome (914464419).

The spelling of 202430217 in words is "two hundred two million, four hundred thirty thousand, two hundred seventeen".

Divisors: 1 3 11 31 33 93 121 341 363 1023 3751 11253 17989 53967 197879 557659 593637 1672977 2176669 6134249 6530007 18402747 67476739 202430217