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22121351226 = 2321394535689
BaseRepresentation
bin10100100110100010…
…010000100000111010
32010002200020002001200
4110212202100200322
5330301031214401
614055025155030
71412121245232
oct244642204072
963080202050
1022121351226
119421a20657
12435448ba76
13211702cc50
1410dbd2ccc2
158970ee686
hex52689083a

22121351226 has 24 divisors (see below), whose sum is σ = 51616486740. Its totient is φ = 6806569536.

The previous prime is 22121351221. The next prime is 22121351249. The reversal of 22121351226 is 62215312122.

22121351226 is a `hidden beast` number, since 2 + 2 + 121 + 3 + 512 + 26 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21542900625 + 578450601 = 146775^2 + 24051^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22121351226.

It is not an unprimeable number, because it can be changed into a prime (22121351221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47267611 + ... + 47268078.

Almost surely, 222121351226 is an apocalyptic number.

22121351226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

22121351226 is an abundant number, since it is smaller than the sum of its proper divisors (29495135514).

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

22121351226 is a wasteful number, since it uses less digits than its factorization.

22121351226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94535710 (or 94535707 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 22121351226 its reverse (62215312122), we get a palindrome (84336663348).

The spelling of 22121351226 in words is "twenty-two billion, one hundred twenty-one million, three hundred fifty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 94535689 189071378 283607067 567214134 850821201 1228963957 1701642402 2457927914 3686891871 7373783742 11060675613 22121351226