Search a number
-
+
225814418522 = 271110114518093
BaseRepresentation
bin1101001001001110010…
…1101001010001011010
3210120212101200000111022
43102103211221101122
512144431442343042
6251423202402442
722212614613260
oct3222345512132
9716771600438
10225814418522
1187849396990
1237920960422
13183a94b6334
14ad026a8430
155d198bacd2
hex349396945a

225814418522 has 32 divisors (see below), whose sum is σ = 426483529344. Its totient is φ = 87108552000.

The previous prime is 225814418521. The next prime is 225814418537.

225814418522 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2258144185222 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (225814418521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7243493 + ... + 7274600.

It is an arithmetic number, because the mean of its divisors is an integer number (13327610292).

Almost surely, 2225814418522 is an apocalyptic number.

225814418522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

225814418522 is a deficient number, since it is larger than the sum of its proper divisors (200669110822).

225814418522 is a wasteful number, since it uses less digits than its factorization.

225814418522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14518214.

The product of its digits is 409600, while the sum is 44.

The spelling of 225814418522 in words is "two hundred twenty-five billion, eight hundred fourteen million, four hundred eighteen thousand, five hundred twenty-two".

Divisors: 1 2 7 11 14 22 77 101 154 202 707 1111 1414 2222 7777 15554 14518093 29036186 101626651 159699023 203253302 319398046 1117893161 1466327393 2235786322 2932654786 10264291751 16129601323 20528583502 32259202646 112907209261 225814418522