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22120022225 = 5272149121189
BaseRepresentation
bin10100100110011101…
…001100000011010001
32010002120201120000102
4110212131030003101
5330300211202400
614054540502145
71412104041500
oct244635140321
963076646012
1022120022225
1194211a3104
124353b4a955
132116986062
1410dbaa4837
15896e3a9d5
hex52674c0d1

22120022225 has 36 divisors (see below), whose sum is σ = 32121409500. Its totient is φ = 15066092160.

The previous prime is 22120022201. The next prime is 22120022233. The reversal of 22120022225 is 52222002122.

It can be written as a sum of positive squares in 6 ways, for example, as 527483089 + 21592539136 = 22967^2 + 146944^2 .

It is not a de Polignac number, because 22120022225 - 28 = 22120021969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22120022197 and 22120022206.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121931 + ... + 243119.

It is an arithmetic number, because the mean of its divisors is an integer number (892261375).

Almost surely, 222120022225 is an apocalyptic number.

22120022225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22120022225 is a deficient number, since it is larger than the sum of its proper divisors (10001387275).

22120022225 is a wasteful number, since it uses less digits than its factorization.

22120022225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121362 (or 121350 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 22120022225 its reverse (52222002122), we get a palindrome (74342024347).

The spelling of 22120022225 in words is "twenty-two billion, one hundred twenty million, twenty-two thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 149 175 245 745 1043 1225 3725 5215 7301 26075 36505 121189 182525 605945 848323 3029725 4241615 5938261 18057161 21208075 29691305 90285805 126400127 148456525 451429025 632000635 884800889 3160003175 4424004445 22120022225