Search a number
-
+
214402520 = 23512014463
BaseRepresentation
bin11001100011110…
…00010111011000
3112221102202222002
430301320113120
5414341340040
633135220132
75212251143
oct1461702730
9487382862
10214402520
1110002a872
125b977648
133555a9c7
142069105a
1513c51a15
hexcc785d8

214402520 has 32 divisors (see below), whose sum is σ = 482915520. Its totient is φ = 85670400.

The previous prime is 214402499. The next prime is 214402523. The reversal of 214402520 is 25204412.

It is a happy number.

214402520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214402492 and 214402501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214402523) 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, 45809 + ... + 50271.

It is an arithmetic number, because the mean of its divisors is an integer number (15091110).

Almost surely, 2214402520 is an apocalyptic number.

214402520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214402520 is an abundant number, since it is smaller than the sum of its proper divisors (268513000).

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

214402520 is a wasteful number, since it uses less digits than its factorization.

214402520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 214402520 is about 14642.4902253681. The cubic root of 214402520 is about 598.5171903298.

Adding to 214402520 its reverse (25204412), we get a palindrome (239606932).

The spelling of 214402520 in words is "two hundred fourteen million, four hundred two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1201 2402 4463 4804 6005 8926 9608 12010 17852 22315 24020 35704 44630 48040 89260 178520 5360063 10720126 21440252 26800315 42880504 53600630 107201260 214402520