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22107229225 = 5213122272
BaseRepresentation
bin10100100101101100…
…011000110000101001
32010001200122121022121
4110211230120300221
5330233422313400
614053402351241
71411560230224
oct244554306051
963050577277
1022107229225
119414a55584
12434b7bb521
132114127133
1410da0d45bb
15895c6021a
hex525b18c29

22107229225 has 27 divisors (see below), whose sum is σ = 27746047831. Its totient is φ = 17473461200.

The previous prime is 22107229223. The next prime is 22107229241. The reversal of 22107229225 is 52292270122.

The square root of 22107229225 is 148685.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7958602521 + 14148626704 = 89211^2 + 118948^2 .

It is not a de Polignac number, because 22107229225 - 21 = 22107229223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22107229223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97388562 + ... + 97388788.

Almost surely, 222107229225 is an apocalyptic number.

22107229225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22107229225 is the 148685-th square number.

22107229225 is the 74343-rd centered octagonal number.

It is an amenable number.

22107229225 is a deficient number, since it is larger than the sum of its proper divisors (5638818606).

22107229225 is an frugal number, since it uses more digits than its factorization.

22107229225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

Adding to 22107229225 its reverse (52292270122), we get a palindrome (74399499347).

The spelling of 22107229225 in words is "twenty-two billion, one hundred seven million, two hundred twenty-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 131 227 655 1135 3275 5675 17161 29737 51529 85805 148685 257645 429025 743425 1288225 3895547 6750299 19477735 33751495 97388675 168757475 884289169 4421445845 22107229225