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232012240 = 24513721169
BaseRepresentation
bin11011101010000…
…11100111010000
3121011120102221221
431311003213100
5433343342430
635004454424
75515033345
oct1565034720
9534512857
10232012240
11109a68259
126584a414
13390b5165
1422b567cc
151557e57a
hexdd439d0

232012240 has 40 divisors (see below), whose sum is σ = 543391560. Its totient is φ = 92123136.

The previous prime is 232012229. The next prime is 232012289. The reversal of 232012240 is 42210232.

232012240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 90782784 + 141229456 = 9528^2 + 11884^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376 + ... + 21544.

It is an arithmetic number, because the mean of its divisors is an integer number (13584789).

Almost surely, 2232012240 is an apocalyptic number.

232012240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271695780).

232012240 is an abundant number, since it is smaller than the sum of its proper divisors (311379320).

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

232012240 is a wasteful number, since it uses less digits than its factorization.

232012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21319 (or 21313 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 232012240 is about 15231.9480041129. The cubic root of 232012240 is about 614.4741710270.

Adding to 232012240 its reverse (42210232), we get a palindrome (274222472).

The spelling of 232012240 in words is "two hundred thirty-two million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 21169 42338 84676 105845 169352 211690 338704 423380 846760 1693520 2900153 5800306 11600612 14500765 23201224 29001530 46402448 58003060 116006120 232012240