Search a number
-
+
214213888 = 287217077
BaseRepresentation
bin11001100010010…
…10010100000000
3112221002012012201
430301022110000
5414314321023
633131202544
75210534200
oct1461122400
9487065181
10214213888
11aaa11079
125b8a6454
13354c2ba5
1420642400
1513c15bad
hexcc4a500

214213888 has 54 divisors (see below), whose sum is σ = 497430906. Its totient is φ = 91800576.

The previous prime is 214213877. The next prime is 214213891. The reversal of 214213888 is 888312412.

It can be written as a sum of positive squares in only one way, i.e., 177635584 + 36578304 = 13328^2 + 6048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4006 + ... + 21082.

Almost surely, 2214213888 is an apocalyptic number.

214213888 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 214213888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248715453).

214213888 is an abundant number, since it is smaller than the sum of its proper divisors (283217018).

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

214213888 is an equidigital number, since it uses as much as digits as its factorization.

214213888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17107 (or 17086 counting only the distinct ones).

The product of its digits is 24576, while the sum is 37.

The square root of 214213888 is about 14636.0475538992. The cubic root of 214213888 is about 598.3416130704.

The spelling of 214213888 in words is "two hundred fourteen million, two hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 17077 34154 68308 119539 136616 239078 273232 478156 546464 836773 956312 1092928 1673546 1912624 2185856 3347092 3825248 4371712 6694184 7650496 13388368 15300992 26776736 30601984 53553472 107106944 214213888