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2195312500 = 2259281
BaseRepresentation
bin1000001011011001…
…1100111101110100
312122222212102121101
42002312130331310
513444000000000
61001501055444
7105254563663
oct20266347564
95588772541
102195312500
11a27218857
12513257584
1328ca7cba4
1416b7badda
15ccae2e6a
hex82d9cf74

2195312500 has 60 divisors (see below), whose sum is σ = 4819335444. Its totient is φ = 875000000.

The previous prime is 2195312491. The next prime is 2195312513. The reversal of 2195312500 is 52135912.

It can be written as a sum of positive squares in 10 ways, for example, as 120692196 + 2074620304 = 10986^2 + 45548^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7812360 + ... + 7812640.

Almost surely, 22195312500 is an apocalyptic number.

2195312500 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 2195312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409667722).

2195312500 is an abundant number, since it is smaller than the sum of its proper divisors (2624022944).

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

2195312500 is an frugal number, since it uses more digits than its factorization.

2195312500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 2195312500 is about 46854.1620349783. The cubic root of 2195312500 is about 1299.6670745095.

It can be divided in two parts, 21953 and 12500, that added together give a triangular number (34453 = T262).

The spelling of 2195312500 in words is "two billion, one hundred ninety-five million, three hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 281 500 562 625 1124 1250 1405 2500 2810 3125 5620 6250 7025 12500 14050 15625 28100 31250 35125 62500 70250 78125 140500 156250 175625 312500 351250 390625 702500 781250 878125 1562500 1756250 1953125 3512500 3906250 4390625 7812500 8781250 17562500 21953125 43906250 87812500 109765625 219531250 439062500 548828125 1097656250 2195312500