Search a number
-
+
232126440 = 233571329733
BaseRepresentation
bin11011101010111…
…11011111101000
3121011210020121120
431311133133220
5433411021230
635011135240
75516020320
oct1565373750
9534706546
10232126440
1110a036037
12658a4520
1339125130
1422b86280
15155a3310
hexdd5f7e8

232126440 has 256 divisors, whose sum is σ = 887846400. Its totient is φ = 47222784.

The previous prime is 232126423. The next prime is 232126441. The reversal of 232126440 is 44621232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 232126440.

It is not an unprimeable number, because it can be changed into a prime (232126441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316314 + ... + 317046.

It is an arithmetic number, because the mean of its divisors is an integer number (3468150).

Almost surely, 2232126440 is an apocalyptic number.

232126440 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 232126440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443923200).

232126440 is an abundant number, since it is smaller than the sum of its proper divisors (655719960).

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

232126440 is a wasteful number, since it uses less digits than its factorization.

232126440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 232126440 is about 15235.6962427058. The cubic root of 232126440 is about 614.5749723756.

Adding to 232126440 its reverse (44621232), we get a palindrome (276747672).

The spelling of 232126440 in words is "two hundred thirty-two million, one hundred twenty-six thousand, four hundred forty".