Search a number
-
+
2216556090 = 23557311419
BaseRepresentation
bin1000010000011101…
…1111011000111010
312201110211201100000
42010013133120322
514014414243330
61003540253430
7105633262440
oct20407373072
95643751300
102216556090
11a38208441
1251a3a1276
132942aa368
1417054ab90
15ce8dc560
hex841df63a

2216556090 has 192 divisors, whose sum is σ = 6868592640. Its totient is φ = 503807040.

The previous prime is 2216556071. The next prime is 2216556091. The reversal of 2216556090 is 906556122.

2216556090 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 5 + 560 + 90 = 666.

2216556090 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2216556091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5289901 + ... + 5290319.

It is an arithmetic number, because the mean of its divisors is an integer number (35773920).

Almost surely, 22216556090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216556090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434296320).

2216556090 is an abundant number, since it is smaller than the sum of its proper divisors (4652036550).

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

2216556090 is a wasteful number, since it uses less digits than its factorization.

2216556090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2216556090 is about 47080.3153133026. The cubic root of 2216556090 is about 1303.8458285149.

The spelling of 2216556090 in words is "two billion, two hundred sixteen million, five hundred fifty-six thousand, ninety".