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2221255116 = 22331929163229
BaseRepresentation
bin1000010001100101…
…1010100111001100
312201210200110012000
42010121122213030
514022120130431
61004225112300
7106021233303
oct20431324714
95653613160
102221255116
11a3a927933
1251ba88690
13295264152
1417101143a
15d00199e6
hex8465a9cc

2221255116 has 192 divisors, whose sum is σ = 6336960000. Its totient is φ = 670166784.

The previous prime is 2221255103. The next prime is 2221255123. The reversal of 2221255116 is 6115521222.

2221255116 is a `hidden beast` number, since 2 + 22 + 125 + 511 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2221255116.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9699690 + ... + 9699918.

It is an arithmetic number, because the mean of its divisors is an integer number (33005000).

Almost surely, 22221255116 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 2221255116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168480000).

2221255116 is an abundant number, since it is smaller than the sum of its proper divisors (4115704884).

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

2221255116 is a wasteful number, since it uses less digits than its factorization.

2221255116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 2221255116 is about 47130.1932523091. The cubic root of 2221255116 is about 1304.7665482786.

Adding to 2221255116 its reverse (6115521222), we get a palindrome (8336776338).

The spelling of 2221255116 in words is "two billion, two hundred twenty-one million, two hundred fifty-five thousand, one hundred sixteen".