Search a number
-
+
2313212240 = 24528915153
BaseRepresentation
bin1000100111100000…
…1101000101010000
312222012201100122102
42021320031011100
514214140242430
61021312055532
7111215660003
oct21170150520
95865640572
102313212240
11a87825659
125468345a8
132ab31cb51
1417d30b53a
15d8131345
hex89e0d150

2313212240 has 20 divisors (see below), whose sum is σ = 5378218644. Its totient is φ = 925284864.

The previous prime is 2313212221. The next prime is 2313212249. The reversal of 2313212240 is 422123132.

It can be written as a sum of positive squares in 2 ways, for example, as 320839744 + 1992372496 = 17912^2 + 44636^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313212249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14457497 + ... + 14457656.

Almost surely, 22313212240 is an apocalyptic number.

2313212240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313212240 is an abundant number, since it is smaller than the sum of its proper divisors (3065006404).

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

2313212240 is a wasteful number, since it uses less digits than its factorization.

2313212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28915166 (or 28915160 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2313212240 is about 48095.8651029379. The cubic root of 2313212240 is about 1322.5288680250.

Adding to 2313212240 its reverse (422123132), we get a palindrome (2735335372).

The spelling of 2313212240 in words is "two billion, three hundred thirteen million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28915153 57830306 115660612 144575765 231321224 289151530 462642448 578303060 1156606120 2313212240