Search a number
-
+
2246227200 = 2834527619
BaseRepresentation
bin1000010111100010…
…1011010100000000
312210112200011110000
42011320223110000
514100013232300
61010520240000
7106443421230
oct20570532400
95715604400
102246227200
11a52a33818
12528310000
1329a498729
14174471cc0
15d22edc00
hex85e2b500

2246227200 has 540 divisors, whose sum is σ = 9507134560. Its totient is φ = 512593920.

The previous prime is 2246227183. The next prime is 2246227211. The reversal of 2246227200 is 27226422.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628491 + ... + 3629109.

Almost surely, 22246227200 is an apocalyptic number.

2246227200 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 2246227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753567280).

2246227200 is an abundant number, since it is smaller than the sum of its proper divisors (7260907360).

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

2246227200 is an equidigital number, since it uses as much as digits as its factorization.

2246227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2246227200 is about 47394.3794135971. The cubic root of 2246227200 is about 1309.6378774928.

The spelling of 2246227200 in words is "two billion, two hundred forty-six million, two hundred twenty-seven thousand, two hundred".