Search a number
-
+
231100352 = 267539733
BaseRepresentation
bin11011100011001…
…00111111000000
3121002212010002022
431301210333000
5433130202402
634533141012
75504214650
oct1561447700
9532763068
10231100352
111094a512a
126548a768
1338b56092
142299a360
151544e2a2
hexdc64fc0

231100352 has 56 divisors (see below), whose sum is σ = 534046176. Its totient is φ = 97164288.

The previous prime is 231100279. The next prime is 231100357. The reversal of 231100352 is 253001132.

231100352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 231100352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231100357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18878 + ... + 28610.

Almost surely, 2231100352 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 231100352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267023088).

231100352 is an abundant number, since it is smaller than the sum of its proper divisors (302945824).

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

231100352 is an equidigital number, since it uses as much as digits as its factorization.

231100352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9805 (or 9795 counting only the distinct ones).

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

The square root of 231100352 is about 15201.9851335278. The cubic root of 231100352 is about 613.6680823357.

Adding to 231100352 its reverse (253001132), we get a palindrome (484101484).

The spelling of 231100352 in words is "two hundred thirty-one million, one hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3392 5936 9733 11872 19466 23744 38932 68131 77864 136262 155728 272524 311456 515849 545048 622912 1031698 1090096 2063396 2180192 3610943 4126792 4360384 7221886 8253584 14443772 16507168 28887544 33014336 57775088 115550176 231100352