Search a number
-
+
231121728 = 26331311021
BaseRepresentation
bin11011100011010…
…10001101000000
3121002220012102000
431301222031000
5433131343403
634533424000
75504334165
oct1561521500
9532805360
10231121728
1110950a1a2
126549b000
1338b62a26
14229a406c
15154557a3
hexdc6a340

231121728 has 112 divisors (see below), whose sum is σ = 685312320. Its totient is φ = 76377600.

The previous prime is 231121727. The next prime is 231121753. The reversal of 231121728 is 827121132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231121727) 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, 225858 + ... + 226878.

It is an arithmetic number, because the mean of its divisors is an integer number (6118860).

Almost surely, 2231121728 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 231121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342656160).

231121728 is an abundant number, since it is smaller than the sum of its proper divisors (454190592).

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

231121728 is a wasteful number, since it uses less digits than its factorization.

231121728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1157 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 231121728 is about 15202.6881833444. The cubic root of 231121728 is about 613.6870024922.

The spelling of 231121728 in words is "two hundred thirty-one million, one hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 131 144 192 216 262 288 393 432 524 576 786 864 1021 1048 1179 1572 1728 2042 2096 2358 3063 3144 3537 4084 4192 4716 6126 6288 7074 8168 8384 9189 9432 12252 12576 14148 16336 18378 18864 24504 25152 27567 28296 32672 36756 37728 49008 55134 56592 65344 73512 75456 98016 110268 113184 133751 147024 196032 220536 226368 267502 294048 401253 441072 535004 588096 802506 882144 1070008 1203759 1605012 1764288 2140016 2407518 3210024 3611277 4280032 4815036 6420048 7222554 8560064 9630072 12840096 14445108 19260144 25680192 28890216 38520288 57780432 77040576 115560864 231121728