Search a number
-
+
2216488050 = 23652721773
BaseRepresentation
bin1000010000011100…
…1110110001110010
312201110201021000000
42010013032301302
514014410104200
61003535010430
7105632560200
oct20407166162
95643637000
102216488050
11a38171307
1251a369a16
132942853ba
14170530070
15ce8c7300
hex841cec72

2216488050 has 504 divisors, whose sum is σ = 7717598676. Its totient is φ = 470292480.

The previous prime is 2216488049. The next prime is 2216488139. The reversal of 2216488050 is 508846122.

2216488050 is a `hidden beast` number, since 2 + 2 + 1 + 648 + 8 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1196260569 + 1020227481 = 34587^2 + 31941^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2216487996 and 2216488014.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 30362814 + ... + 30362886.

Almost surely, 22216488050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216488050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858799338).

2216488050 is an abundant number, since it is smaller than the sum of its proper divisors (5501110626).

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

2216488050 is a wasteful number, since it uses less digits than its factorization.

2216488050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2216488050 is about 47079.5927127667. The cubic root of 2216488050 is about 1303.8324873113.

The spelling of 2216488050 in words is "two billion, two hundred sixteen million, four hundred eighty-eight thousand, fifty".