Search a number
-
+
231226848 = 25322832837
BaseRepresentation
bin11011100100000…
…11110111100000
3121010002112121100
431302003313200
5433143224343
634535554400
75505252516
oct1562036740
9533075540
10231226848
11109581176
126552ba00
1338b9b828
14229d04b6
15154769d3
hexdc83de0

231226848 has 72 divisors (see below), whose sum is σ = 660107448. Its totient is φ = 76776192.

The previous prime is 231226847. The next prime is 231226871. The reversal of 231226848 is 848622132.

231226848 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231226847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80086 + ... + 82922.

It is an arithmetic number, because the mean of its divisors is an integer number (9168159).

Almost surely, 2231226848 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 231226848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330053724).

231226848 is an abundant number, since it is smaller than the sum of its proper divisors (428880600).

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

231226848 is a wasteful number, since it uses less digits than its factorization.

231226848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3125 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 231226848 is about 15206.1450736207. The cubic root of 231226848 is about 613.7800285069.

The spelling of 231226848 in words is "two hundred thirty-one million, two hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 283 288 566 849 1132 1698 2264 2547 2837 3396 4528 5094 5674 6792 8511 9056 10188 11348 13584 17022 20376 22696 25533 27168 34044 40752 45392 51066 68088 81504 90784 102132 136176 204264 272352 408528 802871 817056 1605742 2408613 3211484 4817226 6422968 7225839 9634452 12845936 14451678 19268904 25691872 28903356 38537808 57806712 77075616 115613424 231226848