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200212320 = 25357115417
BaseRepresentation
bin10111110111011…
…11111101100000
3111221201211200010
423323233331200
5402223243240
631511124520
74650530250
oct1373577540
9457654603
10200212320
11a3018530
1257073740
133262cb39
141c839960
151289c280
hexbeeff60

200212320 has 192 divisors, whose sum is σ = 786433536. Its totient is φ = 41594880.

The previous prime is 200212319. The next prime is 200212379. The reversal of 200212320 is 23212002.

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

It is a junction number, because it is equal to n+sod(n) for n = 200212296 and 200212305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34252 + ... + 39668.

It is an arithmetic number, because the mean of its divisors is an integer number (4096008).

Almost surely, 2200212320 is an apocalyptic number.

200212320 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 200212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393216768).

200212320 is an abundant number, since it is smaller than the sum of its proper divisors (586221216).

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

200212320 is a wasteful number, since it uses less digits than its factorization.

200212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5445 counting only the distinct ones).

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

The square root of 200212320 is about 14149.6402781131. The cubic root of 200212320 is about 585.0104169377.

Adding to 200212320 its reverse (23212002), we get a palindrome (223424322).

The spelling of 200212320 in words is "two hundred million, two hundred twelve thousand, three hundred twenty".