Search a number
-
+
2216448200 = 235233292
BaseRepresentation
bin1000010000011100…
…0101000011001000
312201110122020100002
42010013011003020
514014402320300
61003534102132
7105632333051
oct20407050310
95643566302
102216448200
11a3814437a
1251a34a948
13294270215
1417051d728
15ce8ba5d5
hex841c50c8

2216448200 has 36 divisors (see below), whose sum is σ = 5154790515. Its totient is φ = 886312960.

The previous prime is 2216448197. The next prime is 2216448209. The reversal of 2216448200 is 28446122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 571496836 + 1644951364 = 23906^2 + 40558^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33290.

It is not an unprimeable number, because it can be changed into a prime (2216448209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 664136 + ... + 667464.

Almost surely, 22216448200 is an apocalyptic number.

2216448200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2216448200 is an abundant number, since it is smaller than the sum of its proper divisors (2938342315).

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

2216448200 is an frugal number, since it uses more digits than its factorization.

2216448200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 2216448200 is about 47079.1694914003. The cubic root of 2216448200 is about 1303.8246734432.

The spelling of 2216448200 in words is "two billion, two hundred sixteen million, four hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 3329 6658 13316 16645 26632 33290 66580 83225 133160 166450 332900 665800 11082241 22164482 44328964 55411205 88657928 110822410 221644820 277056025 443289640 554112050 1108224100 2216448200