Search a number
-
+
218103808 = 22413
BaseRepresentation
bin11010000000000…
…00000000000000
3120012101211011211
431000000000000
5421313310213
633350415504
75255565106
oct1500000000
9505354154
10218103808
1110212868a
1261061594
1336255610
1420d75c76
151423353d
hexd000000

218103808 has 50 divisors (see below), whose sum is σ = 469762034. Its totient is φ = 100663296.

The previous prime is 218103799. The next prime is 218103811. The reversal of 218103808 is 808301812.

It can be written as a sum of positive squares in only one way, i.e., 150994944 + 67108864 = 12288^2 + 8192^2 .

It is a nialpdrome in base 4 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 218103808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16777210 + ... + 16777222.

Almost surely, 2218103808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218103808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234881017).

218103808 is an abundant number, since it is smaller than the sum of its proper divisors (251658226).

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

218103808 is an frugal number, since it uses more digits than its factorization.

218103808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 218103808 is about 14768.3380243005. The cubic root of 218103808 is about 601.9416800565.

The spelling of 218103808 in words is "two hundred eighteen million, one hundred three thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 16384 26624 32768 53248 65536 106496 131072 212992 262144 425984 524288 851968 1048576 1703936 2097152 3407872 4194304 6815744 8388608 13631488 16777216 27262976 54525952 109051904 218103808