Search a number
-
+
235884152 = 23741711447
BaseRepresentation
bin11100000111101…
…00111001111000
3121102212011020002
432003310321320
5440341243102
635223452132
75562660620
oct1603647170
9542764202
10235884152
11111172289
1266bb7048
1339b3c62a
1423483880
1515a96902
hexe0f4e78

235884152 has 64 divisors (see below), whose sum is σ = 525450240. Its totient is φ = 97171200.

The previous prime is 235884151. The next prime is 235884169. The reversal of 235884152 is 251488532.

235884152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235884151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162293 + ... + 163739.

It is an arithmetic number, because the mean of its divisors is an integer number (8210160).

Almost surely, 2235884152 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 235884152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262725120).

235884152 is an abundant number, since it is smaller than the sum of its proper divisors (289566088).

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

235884152 is a wasteful number, since it uses less digits than its factorization.

235884152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1568 counting only the distinct ones).

The product of its digits is 76800, while the sum is 38.

The square root of 235884152 is about 15358.5205016629. The cubic root of 235884152 is about 617.8735266234.

The spelling of 235884152 in words is "two hundred thirty-five million, eight hundred eighty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 41 56 71 82 142 164 284 287 328 497 568 574 994 1148 1447 1988 2296 2894 2911 3976 5788 5822 10129 11576 11644 20258 20377 23288 40516 40754 59327 81032 81508 102737 118654 163016 205474 237308 410948 415289 474616 719159 821896 830578 1438318 1661156 2876636 3322312 4212217 5753272 8424434 16848868 29485519 33697736 58971038 117942076 235884152