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2313212000 = 255311192767
BaseRepresentation
bin1000100111100000…
…1101000001100000
312222012201100022112
42021320031001200
514214140241000
61021312054452
7111215656211
oct21170150140
95865640275
102313212000
11a87825460
12546834428
132ab31c9c8
1417d30b408
15d8131235
hex89e0d060

2313212000 has 192 divisors, whose sum is σ = 6528936960. Its totient is φ = 796608000.

The previous prime is 2313211987. The next prime is 2313212009. The reversal of 2313212000 is 2123132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313212009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834617 + ... + 837383.

It is an arithmetic number, because the mean of its divisors is an integer number (34004880).

Almost surely, 22313212000 is an apocalyptic number.

2313212000 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 2313212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264468480).

2313212000 is an abundant number, since it is smaller than the sum of its proper divisors (4215724960).

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

2313212000 is a wasteful number, since it uses less digits than its factorization.

2313212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2313212000 is about 48095.8626079209. The cubic root of 2313212000 is about 1322.5288222868.

Adding to 2313212000 its reverse (2123132), we get a palindrome (2315335132).

The spelling of 2313212000 in words is "two billion, three hundred thirteen million, two hundred twelve thousand".