Search a number
-
+
2195747200 = 275217181223
BaseRepresentation
bin1000001011100000…
…0111000110000000
312200000200111220101
42002320013012000
513444102402300
61001514252144
7105261354223
oct20270070600
95600614811
102195747200
11a27495409
12513427054
1328cba29ca
1416b8915ba
15ccb7bb6a
hex82e07180

2195747200 has 192 divisors, whose sum is σ = 5800878720. Its totient is φ = 818380800.

The previous prime is 2195747173. The next prime is 2195747219. The reversal of 2195747200 is 27475912.

It is a self number, because there is not a number n which added to its sum of digits gives 2195747200.

It is a congruent number.

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, 9846289 + ... + 9846511.

It is an arithmetic number, because the mean of its divisors is an integer number (30212910).

Almost surely, 22195747200 is an apocalyptic number.

2195747200 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 2195747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900439360).

2195747200 is an abundant number, since it is smaller than the sum of its proper divisors (3605131520).

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

2195747200 is a wasteful number, since it uses less digits than its factorization.

2195747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 2195747200 is about 46858.8006675374. The cubic root of 2195747200 is about 1299.7528524252.

The spelling of 2195747200 in words is "two billion, one hundred ninety-five million, seven hundred forty-seven thousand, two hundred".