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214304244 = 2237211171949
BaseRepresentation
bin11001100011000…
…00010111110100
3112221020210011020
430301200113310
5414330213434
633133141140
75211361500
oct1461402764
9487223136
10214304244
11aaa72a50
125b92a7b0
133552505b
1420667300
1513c32849
hexcc605f4

214304244 has 144 divisors (see below), whose sum is σ = 672235200. Its totient is φ = 52362240.

The previous prime is 214304239. The next prime is 214304267. The reversal of 214304244 is 442403412.

It is a happy number.

214304244 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108982 + ... + 110930.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2214304244 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 214304244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

214304244 is an abundant number, since it is smaller than the sum of its proper divisors (457930956).

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

214304244 is a wasteful number, since it uses less digits than its factorization.

214304244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 214304244 is about 14639.1339907796. The cubic root of 214304244 is about 598.4257286175.

Adding to 214304244 its reverse (442403412), we get a palindrome (656707656).

The spelling of 214304244 in words is "two hundred fourteen million, three hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 49 51 66 68 77 84 98 102 119 132 147 154 187 196 204 231 238 294 308 357 374 462 476 539 561 588 714 748 833 924 1078 1122 1309 1428 1617 1666 1949 2156 2244 2499 2618 3234 3332 3898 3927 4998 5236 5847 6468 7796 7854 9163 9996 11694 13643 15708 18326 21439 23388 27286 27489 33133 36652 40929 42878 54572 54978 64317 66266 81858 85756 95501 99399 109956 128634 132532 150073 163716 191002 198798 231931 257268 286503 300146 364463 382004 397596 450219 463862 573006 600292 695793 728926 900438 927724 1050511 1093389 1146012 1391586 1457852 1623517 1800876 2101022 2186778 2551241 2783172 3151533 3247034 4202044 4373556 4870551 5102482 6303066 6494068 7653723 9741102 10204964 12606132 15307446 17858687 19482204 30614892 35717374 53576061 71434748 107152122 214304244