Search a number
-
+
211288308 = 2237111713451
BaseRepresentation
bin11001001100000…
…00000011110100
3112201120120001220
430212000003310
5413042211213
632544350340
75143630620
oct1446000364
9481516056
10211288308
11a92a3040
125a9153b0
1334a0a38a
14200c0180
1513838e23
hexc9800f4

211288308 has 96 divisors (see below), whose sum is σ = 650861568. Its totient is φ = 51648000.

The previous prime is 211288307. The next prime is 211288309. The reversal of 211288308 is 803882112.

211288308 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211288307) and next prime (211288309).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211288307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8983 + ... + 22433.

It is an arithmetic number, because the mean of its divisors is an integer number (6779808).

Almost surely, 2211288308 is an apocalyptic number.

211288308 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 211288308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325430784).

211288308 is an abundant number, since it is smaller than the sum of its proper divisors (439573260).

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

211288308 is a wasteful number, since it uses less digits than its factorization.

211288308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13493 (or 13491 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 211288308 is about 14535.7596292729. The cubic root of 211288308 is about 595.6052105255.

The spelling of 211288308 in words is "two hundred eleven million, two hundred eighty-eight thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 7854 13451 15708 26902 40353 53804 80706 94157 147961 161412 188314 228667 282471 295922 376628 443883 457334 564942 591844 686001 887766 914668 1035727 1129884 1372002 1600669 1775532 2071454 2515337 2744004 3107181 3201338 4142908 4802007 5030674 6214362 6402676 7546011 9604014 10061348 12428724 15092022 17607359 19208028 30184044 35214718 52822077 70429436 105644154 211288308