Search a number
-
+
2314443648 = 2731117167193
BaseRepresentation
bin1000100111110011…
…1001101110000000
312222022000220211010
42021330321232000
514214444144043
61021354320520
7111232306056
oct21174715600
95868026733
102314443648
11a88496850
12547129140
132ab6614aa
1417d54c1d6
15d82c6133
hex89f39b80

2314443648 has 256 divisors, whose sum is σ = 7180669440. Its totient is φ = 652738560.

The previous prime is 2314443643. The next prime is 2314443667. The reversal of 2314443648 is 8463444132.

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 (2314443643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11991840 + ... + 11992032.

It is an arithmetic number, because the mean of its divisors is an integer number (28049490).

Almost surely, 22314443648 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 2314443648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590334720).

2314443648 is an abundant number, since it is smaller than the sum of its proper divisors (4866225792).

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

2314443648 is a wasteful number, since it uses less digits than its factorization.

2314443648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 2314443648 is about 48108.6649991454. The cubic root of 2314443648 is about 1322.7635033232.

The spelling of 2314443648 in words is "two billion, three hundred fourteen million, four hundred forty-three thousand, six hundred forty-eight".