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214210644000 = 25353116315349
BaseRepresentation
bin1100011101111111110…
…0110000100000100000
3202110220201010012022120
43013133330300200200
512002200411102000
6242223525304240
721322224300663
oct3073774604040
9673821105276
10214210644000
1182934362391
1235622865080
131727a471072
14a52154b6da
15588ad156a0
hex31dff30820

214210644000 has 192 divisors, whose sum is σ = 702403228800. Its totient is φ = 57070003200.

The previous prime is 214210643993. The next prime is 214210644029. The reversal of 214210644000 is 446012412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13948326 + ... + 13963674.

It is an arithmetic number, because the mean of its divisors is an integer number (3658350150).

Almost surely, 2214210644000 is an apocalyptic number.

214210644000 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 214210644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351201614400).

214210644000 is an abundant number, since it is smaller than the sum of its proper divisors (488192584800).

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

214210644000 is a wasteful number, since it uses less digits than its factorization.

214210644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16540 (or 16522 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214210644000 its reverse (446012412), we get a palindrome (214656656412).

The spelling of 214210644000 in words is "two hundred fourteen billion, two hundred ten million, six hundred forty-four thousand".