Search a number
-
+
2322130000 = 2454733181
BaseRepresentation
bin1000101001101000…
…1110010001010000
312222211111102111211
42022122032101100
514223431130000
61022231145504
7111354531211
oct21232162120
95884442454
102322130000
11a91866703
12549815294
132b0122c28
1418058d408
15d8ce37ba
hex8a68e450

2322130000 has 100 divisors (see below), whose sum is σ = 5700915748. Its totient is φ = 915840000.

The previous prime is 2322129983. The next prime is 2322130003. The reversal of 2322130000 is 312232.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2143319616 + 178810384 = 46296^2 + 13372^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2322130003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 728410 + ... + 731590.

Almost surely, 22322130000 is an apocalyptic number.

2322130000 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 2322130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850457874).

2322130000 is an abundant number, since it is smaller than the sum of its proper divisors (3378785748).

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

2322130000 is an equidigital number, since it uses as much as digits as its factorization.

2322130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2322130000 is about 48188.4841014946. The cubic root of 2322130000 is about 1324.2262006162.

Adding to 2322130000 its reverse (312232), we get a palindrome (2322442232).

The spelling of 2322130000 in words is "two billion, three hundred twenty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 625 730 1000 1168 1250 1460 1825 2000 2500 2920 3181 3650 5000 5840 6362 7300 9125 10000 12724 14600 15905 18250 25448 29200 31810 36500 45625 50896 63620 73000 79525 91250 127240 146000 159050 182500 232213 254480 318100 365000 397625 464426 636200 730000 795250 928852 1161065 1272400 1590500 1857704 1988125 2322130 3181000 3715408 3976250 4644260 5805325 6362000 7952500 9288520 11610650 15905000 18577040 23221300 29026625 31810000 46442600 58053250 92885200 116106500 145133125 232213000 290266250 464426000 580532500 1161065000 2322130000