Search a number
-
+
214301024 = 2571934957
BaseRepresentation
bin11001100010111…
…11100101100000
3112221020121201222
430301133211200
5414330113044
633133114212
75211346220
oct1461374540
9487217658
10214301024
11aaa70593
125b928968
1335523752
1420666080
1513c318ee
hexcc5f960

214301024 has 48 divisors (see below), whose sum is σ = 484773408. Its totient is φ = 91348992.

The previous prime is 214300979. The next prime is 214301029. The reversal of 214301024 is 420103412.

214301024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214300993 and 214301011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214301029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40754 + ... + 45710.

It is an arithmetic number, because the mean of its divisors is an integer number (10099446).

Almost surely, 2214301024 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 214301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242386704).

214301024 is an abundant number, since it is smaller than the sum of its proper divisors (270472384).

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

214301024 is a wasteful number, since it uses less digits than its factorization.

214301024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 214301024 is about 14639.0240111833. The cubic root of 214301024 is about 598.4227314137.

Adding to 214301024 its reverse (420103412), we get a palindrome (634404436).

The spelling of 214301024 in words is "two hundred fourteen million, three hundred one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 193 224 386 772 1351 1544 2702 3088 4957 5404 6176 9914 10808 19828 21616 34699 39656 43232 69398 79312 138796 158624 277592 555184 956701 1110368 1913402 3826804 6696907 7653608 13393814 15307216 26787628 30614432 53575256 107150512 214301024