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225231132522 = 23113792232241
BaseRepresentation
bin1101000111000011010…
…0100101011101101010
3210112100202010000112010
43101300310211131222
512142233132220042
6251245244500350
722162303016064
oct3216064453552
9715322100463
10225231132522
118757a114540
123779954a6b6
13183156c02a6
14ac89032734
155cd35a059c
hex3470d2576a

225231132522 has 32 divisors (see below), whose sum is σ = 504694828224. Its totient is φ = 66407212800.

The previous prime is 225231132521. The next prime is 225231132523.

It is a happy number.

225231132522 is nontrivially palindromic in base 10.

225231132522 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225231132521) and next prime (225231132523).

It is a self number, because there is not a number n which added to its sum of digits gives 225231132522.

It is not an unprimeable number, because it can be changed into a prime (225231132521) 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 15 ways as a sum of consecutive naturals, for example, 46113679 + ... + 46118562.

It is an arithmetic number, because the mean of its divisors is an integer number (15771713382).

Almost surely, 2225231132522 is an apocalyptic number.

225231132522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

225231132522 is an abundant number, since it is smaller than the sum of its proper divisors (279463695702).

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

225231132522 is a wasteful number, since it uses less digits than its factorization.

225231132522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92232294.

The product of its digits is 14400, while the sum is 30.

It can be divided in two parts, 225231 and 132522, that added together give a palindrome (357753).

The spelling of 225231132522 in words is "two hundred twenty-five billion, two hundred thirty-one million, one hundred thirty-two thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 92232241 184464482 276696723 553393446 1014554651 2029109302 3043663953 3412592917 6087327906 6825185834 10237778751 20475557502 37538522087 75077044174 112615566261 225231132522