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231001144 = 231123611871
BaseRepresentation
bin11011100010011…
…00110000111000
3121002200001222221
431301030300320
5433114014034
634531053424
75503322503
oct1561146070
9532601887
10231001144
11109437640
1265441274
1338b1cb8a
142297213a
151542ebb4
hexdc4cc38

231001144 has 64 divisors (see below), whose sum is σ = 501396480. Its totient is φ = 98736000.

The previous prime is 231001139. The next prime is 231001163. The reversal of 231001144 is 441100132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122529 + ... + 124399.

It is an arithmetic number, because the mean of its divisors is an integer number (7834320).

Almost surely, 2231001144 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 231001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250698240).

231001144 is an abundant number, since it is smaller than the sum of its proper divisors (270395336).

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

231001144 is a wasteful number, since it uses less digits than its factorization.

231001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 231001144 is about 15198.7217883610. The cubic root of 231001144 is about 613.5802568572.

Adding to 231001144 its reverse (441100132), we get a palindrome (672101276).

The spelling of 231001144 in words is "two hundred thirty-one million, one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 23 44 46 61 88 92 122 184 244 253 488 506 671 1012 1342 1403 1871 2024 2684 2806 3742 5368 5612 7484 11224 14968 15433 20581 30866 41162 43033 61732 82324 86066 114131 123464 164648 172132 228262 344264 456524 473363 913048 946726 1255441 1893452 2510882 2625013 3786904 5021764 5250026 10043528 10500052 21000104 28875143 57750286 115500572 231001144