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202144314 = 23179720431
BaseRepresentation
bin11000000110001…
…11101000111010
3112002100222212110
430003013220322
5403222104224
632020353150
75003125011
oct1403075072
9462328773
10202144314
11a4118019
12578457b6
1332b58328
141cbbda78
1512b2e929
hexc0c7a3a

202144314 has 32 divisors (see below), whose sum is σ = 432504576. Its totient is φ = 62760960.

The previous prime is 202144303. The next prime is 202144337. The reversal of 202144314 is 413441202.

It is a super-3 number, since 3×2021443143 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

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, 322 + ... + 20109.

It is an arithmetic number, because the mean of its divisors is an integer number (13515768).

Almost surely, 2202144314 is an apocalyptic number.

202144314 is an abundant number, since it is smaller than the sum of its proper divisors (230360262).

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

202144314 is a wasteful number, since it uses less digits than its factorization.

202144314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20550.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 202144314 is about 14217.7464459034. The cubic root of 202144314 is about 586.8861265003.

Adding to 202144314 its reverse (413441202), we get a palindrome (615585516).

The spelling of 202144314 in words is "two hundred two million, one hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 17 34 51 97 102 194 291 582 1649 3298 4947 9894 20431 40862 61293 122586 347327 694654 1041981 1981807 2083962 3963614 5945421 11890842 33690719 67381438 101072157 202144314