Search a number
-
+
211434480 = 24325293659
BaseRepresentation
bin11001001101000…
…11101111110000
3112201211222120200
430212203233300
5413111400410
632551435200
75145110025
oct1446435760
9481758520
10211434480
11a9392944
125a985b00
1334a5ba7a
142011b54c
15138673c0
hexc9a3bf0

211434480 has 60 divisors (see below), whose sum is σ = 710069880. Its totient is φ = 56382336.

The previous prime is 211434473. The next prime is 211434481. The reversal of 211434480 is 84434112.

211434480 is a `hidden beast` number, since 211 + 4 + 3 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211434481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146110 + ... + 147549.

It is an arithmetic number, because the mean of its divisors is an integer number (11834498).

Almost surely, 2211434480 is an apocalyptic number.

211434480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211434480 is an abundant number, since it is smaller than the sum of its proper divisors (498635400).

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

211434480 is a wasteful number, since it uses less digits than its factorization.

211434480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293678 (or 293669 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 211434480 is about 14540.7867737616. The cubic root of 211434480 is about 595.7425280086.

Adding to 211434480 its reverse (84434112), we get a palindrome (295868592).

The spelling of 211434480 in words is "two hundred eleven million, four hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 293659 587318 880977 1174636 1468295 1761954 2349272 2642931 2936590 3523908 4404885 4698544 5285862 5873180 7047816 8809770 10571724 11746360 13214655 14095632 17619540 21143448 23492720 26429310 35239080 42286896 52858620 70478160 105717240 211434480