Search a number
-
+
214230000 = 2435437193
BaseRepresentation
bin11001100010011…
…10001111110000
3112221010000022110
430301032033300
5414320330000
633131405320
75210632155
oct1461161760
9487100273
10214230000
11aaa22196
125b8b3840
13354ca31a
142064822c
1513c1a850
hexcc4e3f0

214230000 has 200 divisors, whose sum is σ = 713933968. Its totient is φ = 55296000.

The previous prime is 214229969. The next prime is 214230001. The reversal of 214230000 is 32412.

214230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214230001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1109904 + ... + 1110096.

Almost surely, 2214230000 is an apocalyptic number.

214230000 is a gapful number since it is divisible by the number (20) 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 214230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356966984).

214230000 is an abundant number, since it is smaller than the sum of its proper divisors (499703968).

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

214230000 is a wasteful number, since it uses less digits than its factorization.

214230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 214230000 is about 14636.5979653743. The cubic root of 214230000 is about 598.3566140249.

Adding to 214230000 its reverse (32412), we get a palindrome (214262412).

The spelling of 214230000 in words is "two hundred fourteen million, two hundred thirty thousand".