Search a number
-
+
2313402000 = 2435371319223
BaseRepresentation
bin1000100111100011…
…1011011010010000
312222020001222221120
42021320323122100
514214212331000
61021320122240
7111220410150
oct21170733220
95866058846
102313402000
11a87945188
12546906380
132ab388330
1417d35a760
15d816c6a0
hex89e3b690

2313402000 has 640 divisors, whose sum is σ = 9706045440. Its totient is φ = 460339200.

The previous prime is 2313401969. The next prime is 2313402011. The reversal of 2313402000 is 2043132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10373889 + ... + 10374111.

It is an arithmetic number, because the mean of its divisors is an integer number (15165696).

Almost surely, 22313402000 is an apocalyptic number.

2313402000 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 2313402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853022720).

2313402000 is an abundant number, since it is smaller than the sum of its proper divisors (7392643440).

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

2313402000 is a wasteful number, since it uses less digits than its factorization.

2313402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2313402000 is about 48097.8377892395. The cubic root of 2313402000 is about 1322.5650307560.

Adding to 2313402000 its reverse (2043132), we get a palindrome (2315445132).

The spelling of 2313402000 in words is "two billion, three hundred thirteen million, four hundred two thousand".