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2315352000 = 263531341181
BaseRepresentation
bin1000101000000001…
…0111011111000000
312222100202001211210
42022000113133000
514220212231000
61021430010120
7111243111243
oct21200273700
95870661753
102315352000
11a88a57255
125474a6940
132ab8bba90
1417d70725a
15d8405350
hex8a0177c0

2315352000 has 448 divisors, whose sum is σ = 8480803968. Its totient is φ = 552960000.

The previous prime is 2315351953. The next prime is 2315352019. The reversal of 2315352000 is 2535132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12791910 + ... + 12792090.

It is an arithmetic number, because the mean of its divisors is an integer number (18930366).

Almost surely, 22315352000 is an apocalyptic number.

2315352000 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 2315352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240401984).

2315352000 is an abundant number, since it is smaller than the sum of its proper divisors (6165451968).

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

2315352000 is a wasteful number, since it uses less digits than its factorization.

2315352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 2315352000 is about 48118.1047008296. The cubic root of 2315352000 is about 1322.9365294584.

Adding to 2315352000 its reverse (2535132), we get a palindrome (2317887132).

The spelling of 2315352000 in words is "two billion, three hundred fifteen million, three hundred fifty-two thousand".