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219132680 = 23513421409
BaseRepresentation
bin11010000111110…
…11001100001000
3120021100002112012
431003323030020
5422044221210
633424435052
75300411534
oct1503731410
9507302465
10219132680
11102770698
1261478a88
1336525a10
1421162bc4
1514388305
hexd0fb308

219132680 has 32 divisors (see below), whose sum is σ = 530976600. Its totient is φ = 80910336.

The previous prime is 219132673. The next prime is 219132701. The reversal of 219132680 is 86231912.

It can be written as a sum of positive squares in 4 ways, for example, as 102535876 + 116596804 = 10126^2 + 10798^2 .

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 7 ways as a sum of consecutive naturals, for example, 210185 + ... + 211224.

Almost surely, 2219132680 is an apocalyptic number.

219132680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219132680 is an abundant number, since it is smaller than the sum of its proper divisors (311843920).

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

219132680 is a wasteful number, since it uses less digits than its factorization.

219132680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421433 (or 421429 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 219132680 is about 14803.1307499461. The cubic root of 219132680 is about 602.8867187805.

The spelling of 219132680 in words is "two hundred nineteen million, one hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 421409 842818 1685636 2107045 3371272 4214090 5478317 8428180 10956634 16856360 21913268 27391585 43826536 54783170 109566340 219132680