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2246317056 = 21033113719
BaseRepresentation
bin1000010111100100…
…0001010000000000
312210112211201201000
42011321001100000
514100024121211
61010522212000
7106444244214
oct20571012000
95715751630
102246317056
11a52a95285
12528354000
1329a4ca5b9
14174496944
15d231a656
hex85e41400

2246317056 has 176 divisors, whose sum is σ = 6720710400. Its totient is φ = 741113856.

The previous prime is 2246317039. The next prime is 2246317069. The reversal of 2246317056 is 6507136422.

2246317056 is a `hidden beast` number, since 22 + 463 + 170 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2246317056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3123865 + ... + 3124583.

Almost surely, 22246317056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246317056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360355200).

2246317056 is an abundant number, since it is smaller than the sum of its proper divisors (4474393344).

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

2246317056 is a wasteful number, since it uses less digits than its factorization.

2246317056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2246317056 is about 47395.3273646253. The cubic root of 2246317056 is about 1309.6553404416.

The spelling of 2246317056 in words is "two billion, two hundred forty-six million, three hundred seventeen thousand, fifty-six".