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225126034012 = 221134736740177
BaseRepresentation
bin1101000110101010001…
…1101010101001011100
3210112002102100110110201
43101222203222221130
512142024231042022
6251231012113244
722156555500325
oct3215243525134
9715072313421
10225126034012
1187525860470
123776a305824
13182c99b2c19
14ac790b544c
155cc9240127
hex346a8eaa5c

225126034012 has 48 divisors (see below), whose sum is σ = 432209852928. Its totient is φ = 101754558720.

The previous prime is 225126033971. The next prime is 225126034069. The reversal of 225126034012 is 210430621522.

225126034012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2251260340122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 5583268 + ... + 5623444.

It is an arithmetic number, because the mean of its divisors is an integer number (9004371936).

Almost surely, 2225126034012 is an apocalyptic number.

225126034012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225126034012 is a deficient number, since it is larger than the sum of its proper divisors (207083818916).

225126034012 is a wasteful number, since it uses less digits than its factorization.

225126034012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40906 (or 40904 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 225126034012 its reverse (210430621522), we get a palindrome (435556655534).

The spelling of 225126034012 in words is "two hundred twenty-five billion, one hundred twenty-six million, thirty-four thousand, twelve".

Divisors: 1 2 4 11 22 44 347 367 694 734 1388 1468 3817 4037 7634 8074 15268 16148 40177 80354 127349 160708 254698 441947 509396 883894 1400839 1767788 2801678 5603356 13941419 14744959 27882838 29489918 55765676 58979836 153355609 162194549 306711218 324389098 613422436 648778196 5116500773 10233001546 20466003092 56281508503 112563017006 225126034012