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213918484 = 221341269373
BaseRepresentation
bin11001100000000…
…10001100010100
3112220112011222211
430300002030110
5414230342414
633121003204
75205164023
oct1460021424
9486464884
10213918484
11aa82a13a
125b783504
133541b5b0
14205a68ba
1513ba83c4
hexcc02314

213918484 has 48 divisors (see below), whose sum is σ = 415633680. Its totient is φ = 95708160.

The previous prime is 213918461. The next prime is 213918487. The reversal of 213918484 is 484819312.

It can be written as a sum of positive squares in 8 ways, for example, as 92698384 + 121220100 = 9628^2 + 11010^2 .

It is a super-2 number, since 2×2139184842 = 91522235593716512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213918487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573322 + ... + 573694.

It is an arithmetic number, because the mean of its divisors is an integer number (8659035).

Almost surely, 2213918484 is an apocalyptic number.

It is an amenable number.

213918484 is a deficient number, since it is larger than the sum of its proper divisors (201715196).

213918484 is a wasteful number, since it uses less digits than its factorization.

213918484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 698 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 213918484 is about 14625.9524134328. The cubic root of 213918484 is about 598.0664460120.

The spelling of 213918484 in words is "two hundred thirteen million, nine hundred eighteen thousand, four hundred eighty-four".

Divisors: 1 2 4 13 26 41 52 82 164 269 373 533 538 746 1066 1076 1492 2132 3497 4849 6994 9698 11029 13988 15293 19396 22058 30586 44116 61172 100337 143377 198809 200674 286754 397618 401348 573508 795236 1304381 2608762 4113817 5217524 8227634 16455268 53479621 106959242 213918484