Search a number
-
+
202328592 = 24329191761
BaseRepresentation
bin11000000111101…
…00101000010000
3112002201100122120
430003310220100
5403244003332
632024334240
75004523164
oct1403645020
9462640576
10202328592
11a4233514
1257914380
1332bc117b
141cc2aca4
1512b6932c
hexc0f4a10

202328592 has 80 divisors (see below), whose sum is σ = 544250880. Its totient is φ = 64691200.

The previous prime is 202328551. The next prime is 202328639. The reversal of 202328592 is 295823202.

202328592 is digitally balanced in base 3, 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 15 ways as a sum of consecutive naturals, for example, 265492 + ... + 266252.

It is an arithmetic number, because the mean of its divisors is an integer number (6803136).

Almost surely, 2202328592 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 202328592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272125440).

202328592 is an abundant number, since it is smaller than the sum of its proper divisors (341922288).

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

202328592 is a wasteful number, since it uses less digits than its factorization.

202328592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 202328592 is about 14224.2255325202. The cubic root of 202328592 is about 587.0644106055.

The spelling of 202328592 in words is "two hundred two million, three hundred twenty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 191 232 348 382 464 573 696 761 764 1146 1392 1522 1528 2283 2292 3044 3056 4566 4584 5539 6088 9132 9168 11078 12176 16617 18264 22069 22156 33234 36528 44138 44312 66207 66468 88276 88624 132414 132936 145351 176552 264828 265872 290702 353104 436053 529656 581404 872106 1059312 1162808 1744212 2325616 3488424 4215179 6976848 8430358 12645537 16860716 25291074 33721432 50582148 67442864 101164296 202328592