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33222216 = 23317107761
BaseRepresentation
bin111111010111…
…0111001001000
32022111212022110
41332232321020
532001102331
63144022320
7552245526
oct176567110
968455273
1033222216
1117831385
12b1619a0
136b62821
1445ab316
152db3946
hex1faee48

33222216 has 64 divisors (see below), whose sum is σ = 88879680. Its totient is φ = 10311680.

The previous prime is 33222191. The next prime is 33222223. The reversal of 33222216 is 61222233.

It is a super-2 number, since 2×332222162 = 2207431271901312, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33222192 and 33222201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43276 + ... + 44036.

It is an arithmetic number, because the mean of its divisors is an integer number (1388745).

Almost surely, 233222216 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 33222216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44439840).

33222216 is an abundant number, since it is smaller than the sum of its proper divisors (55657464).

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

33222216 is a wasteful number, since it uses less digits than its factorization.

33222216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 890 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 33222216 is about 5763.8716155029. The cubic root of 33222216 is about 321.4717880798.

Adding to 33222216 its reverse (61222233), we get a palindrome (94444449).

The spelling of 33222216 in words is "thirty-three million, two hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 107 136 204 214 321 408 428 642 761 856 1284 1522 1819 2283 2568 3044 3638 4566 5457 6088 7276 9132 10914 12937 14552 18264 21828 25874 38811 43656 51748 77622 81427 103496 155244 162854 244281 310488 325708 488562 651416 977124 1384259 1954248 2768518 4152777 5537036 8305554 11074072 16611108 33222216