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2122253225 = 52174993537
BaseRepresentation
bin111111001111111…
…0000001110101001
312110220101122010022
41332133300032221
513321244100400
6550331130225
7103406566121
oct17637601651
95426348108
102122253225
11999a58294
124b28a3975
1327a8aca51
14161bddc81
15c64b0b85
hex7e7f03a9

2122253225 has 12 divisors (see below), whose sum is σ = 2786394204. Its totient is φ = 1597931520.

The previous prime is 2122253219. The next prime is 2122253227. The reversal of 2122253225 is 5223522212.

It can be written as a sum of positive squares in 6 ways, for example, as 1466521 + 2120786704 = 1211^2 + 46052^2 .

It is not a de Polignac number, because 2122253225 - 210 = 2122252201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122253194 and 2122253203.

It is not an unprimeable number, because it can be changed into a prime (2122253227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2496344 + ... + 2497193.

It is an arithmetic number, because the mean of its divisors is an integer number (232199517).

Almost surely, 22122253225 is an apocalyptic number.

2122253225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2122253225 is a deficient number, since it is larger than the sum of its proper divisors (664140979).

2122253225 is a wasteful number, since it uses less digits than its factorization.

2122253225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993564 (or 4993559 counting only the distinct ones).

The product of its digits is 4800, while the sum is 26.

The square root of 2122253225 is about 46067.9196947290. The cubic root of 2122253225 is about 1285.0866167194.

Adding to 2122253225 its reverse (5223522212), we get a palindrome (7345775437).

It can be divided in two parts, 21222 and 53225, that added together give a palindrome (74447).

The spelling of 2122253225 in words is "two billion, one hundred twenty-two million, two hundred fifty-three thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 425 4993537 24967685 84890129 124838425 424450645 2122253225