Search a number
-
+
219875840 = 29585889
BaseRepresentation
bin11010001101100…
…00101000000000
3120022201211221122
431012300220000
5422242011330
633452411412
75306625302
oct1506605000
9508654848
10219875840
11103128a78
1261776b68
1336726062
14212b7972
15144835e5
hexd1b0a00

219875840 has 40 divisors (see below), whose sum is σ = 527192820. Its totient is φ = 87949312.

The previous prime is 219875827. The next prime is 219875857. The reversal of 219875840 is 48578912.

It can be written as a sum of positive squares in 2 ways, for example, as 207821056 + 12054784 = 14416^2 + 3472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 219875791 and 219875800.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40385 + ... + 45504.

Almost surely, 2219875840 is an apocalyptic number.

219875840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219875840 is an abundant number, since it is smaller than the sum of its proper divisors (307316980).

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

219875840 is an frugal number, since it uses more digits than its factorization.

219875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85912 (or 85896 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 219875840 is about 14828.2109507519. The cubic root of 219875840 is about 603.5674870937.

The spelling of 219875840 in words is "two hundred nineteen million, eight hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 85889 171778 343556 429445 687112 858890 1374224 1717780 2748448 3435560 5496896 6871120 10993792 13742240 21987584 27484480 43975168 54968960 109937920 219875840