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34222224 = 2431722467
BaseRepresentation
bin1000001010001…
…1000010010000
32101101200001210
42002203002100
532230102344
63221300120
7563612151
oct202430220
971350053
1034222224
1118354733
12b564640
137122a4a
14478b928
15300edb9
hex20a3090

34222224 has 60 divisors (see below), whose sum is σ = 93951824. Its totient is φ = 10732032.

The previous prime is 34222219. The next prime is 34222231. The reversal of 34222224 is 42222243.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34222224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12639 + ... + 15105.

Almost surely, 234222224 is an apocalyptic number.

34222224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46975912).

34222224 is an abundant number, since it is smaller than the sum of its proper divisors (59729600).

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

34222224 is a wasteful number, since it uses less digits than its factorization.

34222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2489 counting only the distinct ones).

The product of its digits is 1536, while the sum is 21.

The square root of 34222224 is about 5849.9764102088. The cubic root of 34222224 is about 324.6654514012.

Adding to 34222224 its reverse (42222243), we get a palindrome (76444467).

The spelling of 34222224 in words is "thirty-four million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 816 867 1156 1734 2312 2467 3468 4624 4934 6936 7401 9868 13872 14802 19736 29604 39472 41939 59208 83878 118416 125817 167756 251634 335512 503268 671024 712963 1006536 1425926 2013072 2138889 2851852 4277778 5703704 8555556 11407408 17111112 34222224