Search a number
-
+
200364840 = 23345136771
BaseRepresentation
bin10111111000101…
…01001100101000
3111222000120220000
423330111030220
5402243133330
631514303000
74652034024
oct1374251450
9458016800
10200364840
11a3112085
1257127a60
13326843a0
141c879384
15128cc560
hexbf15328

200364840 has 320 divisors, whose sum is σ = 746444160. Its totient is φ = 47900160.

The previous prime is 200364833. The next prime is 200364859. The reversal of 200364840 is 48463002.

200364840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2822005 + ... + 2822075.

It is an arithmetic number, because the mean of its divisors is an integer number (2332638).

Almost surely, 2200364840 is an apocalyptic number.

200364840 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 200364840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373222080).

200364840 is an abundant number, since it is smaller than the sum of its proper divisors (546079320).

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

200364840 is a wasteful number, since it uses less digits than its factorization.

200364840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 200364840 is about 14155.0287883847. The cubic root of 200364840 is about 585.1589311771.

The spelling of 200364840 in words is "two hundred million, three hundred sixty-four thousand, eight hundred forty".