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200002320 = 24325725669
BaseRepresentation
bin10111110101111…
…00101100010000
3111221100011121100
423322330230100
5402200033240
631502424400
74645664100
oct1372745420
9457304540
10200002320
11a2994781
1256b92100
133258838b
141c7c3200
1512859e30
hexbebcb10

200002320 has 180 divisors, whose sum is σ = 781473420. Its totient is φ = 45706752.

The previous prime is 200002301. The next prime is 200002333. The reversal of 200002320 is 23200002.

It can be written as a sum of positive squares in 2 ways, for example, as 59721984 + 140280336 = 7728^2 + 11844^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32446 + ... + 38114.

It is an arithmetic number, because the mean of its divisors is an integer number (4341519).

Almost surely, 2200002320 is an apocalyptic number.

200002320 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 200002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390736710).

200002320 is an abundant number, since it is smaller than the sum of its proper divisors (581471100).

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

200002320 is a wasteful number, since it uses less digits than its factorization.

200002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 200002320 is about 14142.2176478797. The cubic root of 200002320 is about 584.8058088742.

Adding to 200002320 its reverse (23200002), we get a palindrome (223202322).

The spelling of 200002320 in words is "two hundred million, two thousand, three hundred twenty".