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2122253226 = 2327311314293
BaseRepresentation
bin111111001111111…
…0000001110101010
312110220101122010100
41332133300032222
513321244100401
6550331130230
7103406566122
oct17637601652
95426348110
102122253226
11999a58295
124b28a3976
1327a8aca52
14161bddc82
15c64b0b86
hex7e7f03aa

2122253226 has 48 divisors (see below), whose sum is σ = 4702783176. Its totient is φ = 691504128.

The previous prime is 2122253219. The next prime is 2122253227. The reversal of 2122253226 is 6223522212.

2122253226 is a `hidden beast` number, since 2 + 122 + 2 + 532 + 2 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 529046001 + 1593207225 = 23001^2 + 39915^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2122253226.

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 23 ways as a sum of consecutive naturals, for example, 141336 + ... + 155628.

Almost surely, 22122253226 is an apocalyptic number.

2122253226 is an abundant number, since it is smaller than the sum of its proper divisors (2580529950).

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

2122253226 is a wasteful number, since it uses less digits than its factorization.

2122253226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14487 (or 14484 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2122253226 is about 46067.9197055825. The cubic root of 2122253226 is about 1285.0866169212.

Adding to 2122253226 its reverse (6223522212), we get a palindrome (8345775438).

The spelling of 2122253226 in words is "two billion, one hundred twenty-two million, two hundred fifty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 73 113 146 219 226 339 438 657 678 1017 1314 2034 8249 14293 16498 24747 28586 42879 49494 74241 85758 128637 148482 257274 1043389 1615109 2086778 3130167 3230218 4845327 6260334 9390501 9690654 14535981 18781002 29071962 117902957 235805914 353708871 707417742 1061126613 2122253226