Search a number
-
+
200342272 = 2813371627
BaseRepresentation
bin10111111000011…
…11101100000000
3111221222102221011
423330033230000
5402241423042
631514010304
74651611154
oct1374175400
9457872834
10200342272
11a30a7129
1257116994
1332677030
141c871064
15128c5a17
hexbf0fb00

200342272 has 72 divisors (see below), whose sum is σ = 442575056. Its totient is φ = 89911296.

The previous prime is 200342269. The next prime is 200342369. The reversal of 200342272 is 272243002.

200342272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122323 + ... + 123949.

Almost surely, 2200342272 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 200342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221287528).

200342272 is an abundant number, since it is smaller than the sum of its proper divisors (242232784).

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

200342272 is a wasteful number, since it uses less digits than its factorization.

200342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 200342272 is about 14154.2315934140. The cubic root of 200342272 is about 585.1369606514.

Adding to 200342272 its reverse (272243002), we get a palindrome (472585274).

The spelling of 200342272 in words is "two hundred million, three hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 296 416 481 592 832 962 1184 1627 1664 1924 2368 3254 3328 3848 4736 6508 7696 9472 13016 15392 21151 26032 30784 42302 52064 60199 61568 84604 104128 120398 123136 169208 208256 240796 338416 416512 481592 676832 782587 963184 1353664 1565174 1926368 2707328 3130348 3852736 5414656 6260696 7705472 12521392 15410944 25042784 50085568 100171136 200342272