Search a number
-
+
2312831232 = 2831217
BaseRepresentation
bin1000100111011011…
…0000000100000000
312222012000000000000
42021312300010000
514214041044412
61021300000000
7111212512125
oct21166600400
95865000000
102312831232
11a87595378
12546690000
132ab2185ba
1417d24c74c
15d80a84dc
hex89db0100

2312831232 has 234 divisors, whose sum is σ = 7332286878. Its totient is φ = 725594112.

The previous prime is 2312831231. The next prime is 2312831233. The reversal of 2312831232 is 2321382132.

It is a happy number.

2312831232 is a `hidden beast` number, since 2 + 312 + 8 + 312 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (2312831231) and next prime (2312831233).

It can be written as a sum of positive squares in only one way, i.e., 2176782336 + 136048896 = 46656^2 + 11664^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2312831196 and 2312831205.

It is not an unprimeable number, because it can be changed into a prime (2312831231) by changing a digit.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 136048888 + ... + 136048904.

Almost surely, 22312831232 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 2312831232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666143439).

2312831232 is an abundant number, since it is smaller than the sum of its proper divisors (5019455646).

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

2312831232 is an frugal number, since it uses more digits than its factorization.

2312831232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 22 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2312831232 is about 48091.9040172044. The cubic root of 2312831232 is about 1322.4562530212.

The spelling of 2312831232 in words is "two billion, three hundred twelve million, eight hundred thirty-one thousand, two hundred thirty-two".