Search a number
-
+
200313152 = 2613713391
BaseRepresentation
bin10111111000010…
…00100101000000
3111221220221222122
423330020211000
5402240010102
631513223412
74651430234
oct1374104500
9457827878
10200313152
11a3087266
1257101b68
13326669c0
141c8645c4
15128bc0a2
hexbf08940

200313152 has 56 divisors (see below), whose sum is σ = 434230272. Its totient is φ = 91123200.

The previous prime is 200313151. The next prime is 200313209. The reversal of 200313152 is 251313002.

It is a self number, because there is not a number n which added to its sum of digits gives 200313152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200313151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57377 + ... + 60767.

It is an arithmetic number, because the mean of its divisors is an integer number (7754112).

Almost surely, 2200313152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217115136).

200313152 is an abundant number, since it is smaller than the sum of its proper divisors (233917120).

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

200313152 is a wasteful number, since it uses less digits than its factorization.

200313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 200313152 is about 14153.2028883924. The cubic root of 200313152 is about 585.1086091478.

Adding to 200313152 its reverse (251313002), we get a palindrome (451626154).

The spelling of 200313152 in words is "two hundred million, three hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 142 208 284 416 568 832 923 1136 1846 2272 3391 3692 4544 6782 7384 13564 14768 27128 29536 44083 54256 59072 88166 108512 176332 217024 240761 352664 481522 705328 963044 1410656 1926088 2821312 3129893 3852176 6259786 7704352 12519572 15408704 25039144 50078288 100156576 200313152