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2351300000 = 255573359
BaseRepresentation
bin1000110000100101…
…1111110110100000
320001212101102020012
42030021133312200
514303413100000
61025152304052
7112160502020
oct21411376640
96055342205
102351300000
11aa727a545
12557542028
132b619719a
141843c3a80
15db656735
hex8c25fda0

2351300000 has 144 divisors (see below), whose sum is σ = 6614576640. Its totient is φ = 805920000.

The previous prime is 2351299987. The next prime is 2351300011. The reversal of 2351300000 is 31532.

It is a super-2 number, since 2×23513000002 = 11057223380000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698321 + ... + 701679.

It is an arithmetic number, because the mean of its divisors is an integer number (45934560).

Almost surely, 22351300000 is an apocalyptic number.

2351300000 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 2351300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307288320).

2351300000 is an abundant number, since it is smaller than the sum of its proper divisors (4263276640).

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

2351300000 is an frugal number, since it uses more digits than its factorization.

2351300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 2351300000 is about 48490.2051965137. The cubic root of 2351300000 is about 1329.7480066045.

Adding to 2351300000 its reverse (31532), we get a palindrome (2351331532).

The spelling of 2351300000 in words is "two billion, three hundred fifty-one million, three hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3125 3359 3500 4000 4375 5000 5600 6250 6718 7000 8750 10000 12500 13436 14000 16795 17500 20000 21875 23513 25000 26872 28000 33590 35000 43750 47026 50000 53744 67180 70000 83975 87500 94052 100000 107488 117565 134360 140000 167950 175000 188104 235130 268720 335900 350000 376208 419875 470260 537440 587825 671800 700000 752416 839750 940520 1175650 1343600 1679500 1881040 2099375 2351300 2687200 2939125 3359000 3762080 4198750 4702600 5878250 6718000 8397500 9405200 10496875 11756500 13436000 14695625 16795000 18810400 20993750 23513000 29391250 33590000 41987500 47026000 58782500 67180000 73478125 83975000 94052000 117565000 146956250 167950000 235130000 293912500 335900000 470260000 587825000 1175650000 2351300000