Search a number
-
+
214230000000 = 2735737193
BaseRepresentation
bin1100011110000100011…
…0100110000110000000
3202110222001112120202110
43013201012212012000
512002220340000000
6242225500215320
721322550645322
oct3074106460600
9673861476673
10214230000000
1182944282885
123562923a540
131728148a313
14a523d49612
15588c88a850
hex31e11a6180

214230000000 has 512 divisors, whose sum is σ = 734318432640. Its totient is φ = 55296000000.

The previous prime is 214229999987. The next prime is 214230000007. The reversal of 214230000000 is 32412.

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 (214230000007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1109999904 + ... + 1110000096.

Almost surely, 2214230000000 is an apocalyptic number.

214230000000 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 214230000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367159216320).

214230000000 is an abundant number, since it is smaller than the sum of its proper divisors (520088432640).

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

214230000000 is an frugal number, since it uses more digits than its factorization.

214230000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 240 counting only the distinct ones).

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

Adding to 214230000000 its reverse (32412), we get a palindrome (214230032412).

The spelling of 214230000000 in words is "two hundred fourteen billion, two hundred thirty million", and thus it is an aban number.