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202304214 = 232713911551
BaseRepresentation
bin11000000111011…
…10101011010110
3112002200010012200
430003232223112
5403242213324
632024025330
75004362130
oct1403565326
9462603180
10202304214
11a4217172
1257902246
1332bb3048
141cc22050
1512b61ec9
hexc0eead6

202304214 has 48 divisors (see below), whose sum is σ = 504591360. Its totient is φ = 57380400.

The previous prime is 202304177. The next prime is 202304281. The reversal of 202304214 is 412403202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11739 + ... + 23289.

It is an arithmetic number, because the mean of its divisors is an integer number (10512320).

Almost surely, 2202304214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202304214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252295680).

202304214 is an abundant number, since it is smaller than the sum of its proper divisors (302287146).

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

202304214 is a wasteful number, since it uses less digits than its factorization.

202304214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11705 (or 11702 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 202304214 is about 14223.3685883478. The cubic root of 202304214 is about 587.0408317482.

Adding to 202304214 its reverse (412403202), we get a palindrome (614707416).

The spelling of 202304214 in words is "two hundred two million, three hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 278 417 834 973 1251 1946 2502 2919 5838 8757 11551 17514 23102 34653 69306 80857 103959 161714 207918 242571 485142 727713 1455426 1605589 3211178 4816767 9633534 11239123 14450301 22478246 28900602 33717369 67434738 101152107 202304214