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2314625000 = 235618517
BaseRepresentation
bin1000100111110110…
…0101111111101000
312222022101010120212
42021331211333220
514220021000000
61021402240252
7111233662562
oct21175457750
95868333525
102314625000
11a88600026
125471b6088
132ab6c5bbc
1417d598332
15d830ec35
hex89f65fe8

2314625000 has 56 divisors (see below), whose sum is σ = 5425125870. Its totient is φ = 925800000.

The previous prime is 2314624997. The next prime is 2314625051. The reversal of 2314625000 is 5264132.

It can be written as a sum of positive squares in 7 ways, for example, as 1491967876 + 822657124 = 38626^2 + 28682^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 115742 + ... + 134258.

Almost surely, 22314625000 is an apocalyptic number.

2314625000 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 2314625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712562935).

2314625000 is an abundant number, since it is smaller than the sum of its proper divisors (3110500870).

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

2314625000 is an frugal number, since it uses more digits than its factorization.

2314625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18553 (or 18524 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2314625000 is about 48110.5497786088. The cubic root of 2314625000 is about 1322.7980515167.

Adding to 2314625000 its reverse (5264132), we get a palindrome (2319889132).

The spelling of 2314625000 in words is "two billion, three hundred fourteen million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 15625 18517 25000 31250 37034 62500 74068 92585 125000 148136 185170 370340 462925 740680 925850 1851700 2314625 3703400 4629250 9258500 11573125 18517000 23146250 46292500 57865625 92585000 115731250 231462500 289328125 462925000 578656250 1157312500 2314625000