Search a number
-
+
211203328 = 2872113149
BaseRepresentation
bin11001001011010…
…11010100000000
3112201102020111111
430211223110000
5413032001303
632542453104
75143125100
oct1445532400
9481366444
10211203328
11a9245206
125a894194
13349aa7ab
142009b200
151381db6d
hexc96b500

211203328 has 108 divisors (see below), whose sum is σ = 498071700. Its totient is φ = 89112576.

The previous prime is 211203313. The next prime is 211203329. The reversal of 211203328 is 823302112.

It can be written as a sum of positive squares in 2 ways, for example, as 12054784 + 199148544 = 3472^2 + 14112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211203299 and 211203308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211203329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1417398 + ... + 1417546.

It is an arithmetic number, because the mean of its divisors is an integer number (4611775).

Almost surely, 2211203328 is an apocalyptic number.

211203328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249035850).

211203328 is an abundant number, since it is smaller than the sum of its proper divisors (286868372).

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

211203328 is a wasteful number, since it uses less digits than its factorization.

211203328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 211203328 is about 14532.8361994485. The cubic root of 211203328 is about 595.5253491606.

The spelling of 211203328 in words is "two hundred eleven million, two hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 113 128 149 196 224 226 256 298 392 448 452 596 784 791 896 904 1043 1192 1568 1582 1792 1808 2086 2384 3136 3164 3616 4172 4768 5537 6272 6328 7232 7301 8344 9536 11074 12544 12656 14464 14602 16688 16837 19072 22148 25312 28928 29204 33376 33674 38144 44296 50624 58408 66752 67348 88592 101248 116816 117859 133504 134696 177184 202496 233632 235718 267008 269392 354368 467264 471436 538784 708736 825013 934528 942872 1077568 1417472 1650026 1869056 1885744 2155136 3300052 3771488 4310272 6600104 7542976 13200208 15085952 26400416 30171904 52800832 105601664 211203328