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219132340 = 22577272153
BaseRepresentation
bin11010000111110…
…11000110110100
3120021100002001121
431003323012310
5422044213330
633424433324
75300410540
oct1503730664
9507302047
10219132340
11102770409
1261478844
133652580b
1421162a20
151438817a
hexd0fb1b4

219132340 has 48 divisors (see below), whose sum is σ = 526885632. Its totient is φ = 74992896.

The previous prime is 219132317. The next prime is 219132421. The reversal of 219132340 is 43231912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100704 + ... + 102856.

It is an arithmetic number, because the mean of its divisors is an integer number (10976784).

Almost surely, 2219132340 is an apocalyptic number.

219132340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219132340 is an abundant number, since it is smaller than the sum of its proper divisors (307753292).

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

219132340 is a wasteful number, since it uses less digits than its factorization.

219132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 219132340 is about 14803.1192658845. The cubic root of 219132340 is about 602.8864069731.

The spelling of 219132340 in words is "two hundred nineteen million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 727 1454 2153 2908 3635 4306 5089 7270 8612 10178 10765 14540 15071 20356 21530 25445 30142 43060 50890 60284 75355 101780 150710 301420 1565231 3130462 6260924 7826155 10956617 15652310 21913234 31304620 43826468 54783085 109566170 219132340