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8221661228 = 22111922344101
BaseRepresentation
bin1111010100000110…
…01001100000101100
3210012222111122221102
413222003021200230
5113314221124403
63435454422232
7410511652544
oct75203114054
923188448842
108221661228
113539a05850
121715501978
13a10442a01
1457dcc8324
15331bd2b88
hex1ea0c982c

8221661228 has 48 divisors (see below), whose sum is σ = 16596464640. Its totient is φ = 3524472000.

The previous prime is 8221661221. The next prime is 8221661251.

8221661228 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 8221661191 and 8221661200.

It is not an unprimeable number, because it can be changed into a prime (8221661221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164378 + ... + 208478.

It is an arithmetic number, because the mean of its divisors is an integer number (345759680).

Almost surely, 28221661228 is an apocalyptic number.

It is an amenable number.

8221661228 is an abundant number, since it is smaller than the sum of its proper divisors (8374803412).

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

8221661228 is a wasteful number, since it uses less digits than its factorization.

8221661228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44358 (or 44356 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 8221661228 is about 90673.3766218067. The cubic root of 8221661228 is about 2018.3037444488.

The spelling of 8221661228 in words is "eight billion, two hundred twenty-one million, six hundred sixty-one thousand, two hundred twenty-eight".

Divisors: 1 2 4 11 19 22 38 44 76 209 223 418 446 836 892 2453 4237 4906 8474 9812 16948 44101 46607 88202 93214 176404 186428 485111 837919 970222 1675838 1940444 3351676 9217109 9834523 18434218 19669046 36868436 39338092 108179753 186855937 216359506 373711874 432719012 747423748 2055415307 4110830614 8221661228