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216222216 = 23378871451
BaseRepresentation
bin11001110001101…
…00101000001000
3120001212020010020
430320310220020
5420323102331
633242220440
75233600320
oct1470645010
9501766106
10216222216
11101062a51
12604b4720
1335a47052
1420a06280
1513eb0c96
hexce34a08

216222216 has 64 divisors (see below), whose sum is σ = 618900480. Its totient is φ = 61665600.

The previous prime is 216222211. The next prime is 216222229. The reversal of 216222216 is 612222612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (216222211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148291 + ... + 149741.

It is an arithmetic number, because the mean of its divisors is an integer number (9670320).

Almost surely, 2216222216 is an apocalyptic number.

It is an amenable number.

216222216 is an abundant number, since it is smaller than the sum of its proper divisors (402678264).

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

216222216 is a wasteful number, since it uses less digits than its factorization.

216222216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2350 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 216222216 is about 14704.4964551664. The cubic root of 216222216 is about 600.2056850369.

Adding to 216222216 its reverse (612222612), we get a palindrome (828444828).

The spelling of 216222216 in words is "two hundred sixteen million, two hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 887 1451 1774 2661 2902 3548 4353 5322 5804 6209 7096 8706 10157 10644 11608 12418 17412 18627 20314 21288 24836 30471 34824 37254 40628 49672 60942 74508 81256 121884 149016 243768 1287037 2574074 3861111 5148148 7722222 9009259 10296296 15444444 18018518 27027777 30888888 36037036 54055554 72074072 108111108 216222216