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225273372522 = 23114577468781
BaseRepresentation
bin1101000111001101010…
…1101101111101101010
3210112110200121000220120
43101303111231331222
512142324440410042
6251253354104110
722163325033552
oct3216325557552
9715420530816
10225273372522
11875a0a45030
12377ab71b036
131832138c583
14ac908aa162
155cd7145dec
hex347356df6a

225273372522 has 32 divisors (see below), whose sum is σ = 492581110464. Its totient is φ = 68115273600.

The previous prime is 225273372497. The next prime is 225273372551.

It is a happy number.

225273372522 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3704229 + ... + 3764552.

It is an arithmetic number, because the mean of its divisors is an integer number (15393159702).

Almost surely, 2225273372522 is an apocalyptic number.

225273372522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

225273372522 is an abundant number, since it is smaller than the sum of its proper divisors (267307737942).

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

225273372522 is a wasteful number, since it uses less digits than its factorization.

225273372522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7469254.

The product of its digits is 705600, while the sum is 42.

It can be divided in two parts, 225273 and 372522, that added together give a palindrome (597795).

The spelling of 225273372522 in words is "two hundred twenty-five billion, two hundred seventy-three million, three hundred seventy-two thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 457 914 1371 2742 5027 10054 15081 30162 7468781 14937562 22406343 44812686 82156591 164313182 246469773 492939546 3413232917 6826465834 10239698751 20479397502 37545562087 75091124174 112636686261 225273372522