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2328062500 = 22561932
BaseRepresentation
bin1000101011000011…
…0110101000100100
320000020122211101001
42022300312220210
514231441000000
61023002243044
7111456130141
oct21260665044
96006584331
102328062500
11a951488a5
1254b7b6484
132b141c29a
141812953c8
15d95b646a
hex8ac36a24

2328062500 has 63 divisors (see below), whose sum is σ = 5119094631. Its totient is φ = 926400000.

The previous prime is 2328062497. The next prime is 2328062537. The reversal of 2328062500 is 52608232.

The square root of 2328062500 is 48250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 1370036196 + 958026304 = 37014^2 + 30952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 12062404 + ... + 12062596.

Almost surely, 22328062500 is an apocalyptic number.

2328062500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2328062500 is the 48250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2328062500

2328062500 is an abundant number, since it is smaller than the sum of its proper divisors (2791032131).

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

2328062500 is an frugal number, since it uses more digits than its factorization.

2328062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The cubic root of 2328062500 is about 1325.3529379014.

The spelling of 2328062500 in words is "two billion, three hundred twenty-eight million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 193 250 386 500 625 772 965 1250 1930 2500 3125 3860 4825 6250 9650 12500 15625 19300 24125 31250 37249 48250 62500 74498 96500 120625 148996 186245 241250 372490 482500 603125 744980 931225 1206250 1862450 2412500 3015625 3724900 4656125 6031250 9312250 12062500 18624500 23280625 46561250 93122500 116403125 232806250 465612500 582015625 1164031250 2328062500