Search a number
-
+
2312212320 = 2532511612393
BaseRepresentation
bin1000100111010001…
…1000111101100000
312222010211120000100
42021310120331200
514213411243240
61021234422400
7111204323535
oct21164307540
95863746010
102312212320
11a87202380
12546431a00
132ab05c992
1417d12ad8c
15d7ed4e30
hex89d18f60

2312212320 has 288 divisors, whose sum is σ = 8752502304. Its totient is φ = 551116800.

The previous prime is 2312212307. The next prime is 2312212339. The reversal of 2312212320 is 232122132.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2312212293 and 2312212302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965044 + ... + 967436.

It is an arithmetic number, because the mean of its divisors is an integer number (30390633).

Almost surely, 22312212320 is an apocalyptic number.

2312212320 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 2312212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376251152).

2312212320 is an abundant number, since it is smaller than the sum of its proper divisors (6440289984).

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

2312212320 is a wasteful number, since it uses less digits than its factorization.

2312212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2312212320 is about 48085.4689069369. The cubic root of 2312212320 is about 1322.3382797118.

Adding to 2312212320 its reverse (232122132), we get a palindrome (2544334452).

The spelling of 2312212320 in words is "two billion, three hundred twelve million, two hundred twelve thousand, three hundred twenty".