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225232065040 = 24523891375379
BaseRepresentation
bin1101000111000011100…
…0001001001000010000
3210112100210212101200211
43101300320021020100
512142233402040130
6251245320453504
722162313651563
oct3216070111020
9715323771624
10225232065040
118757a6a1114
123779991a294
1318315958888
14ac891d64da
155cd36d6a2a
hex3470e09210

225232065040 has 80 divisors (see below), whose sum is σ = 552572668800. Its totient is φ = 85207417856.

The previous prime is 225232065031. The next prime is 225232065049. The reversal of 225232065040 is 40560232522.

It is an interprime number because it is at equal distance from previous prime (225232065031) and next prime (225232065049).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 225232064993 and 225232065011.

It is not an unprimeable number, because it can be changed into a prime (225232065049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523930 + ... + 851449.

It is an arithmetic number, because the mean of its divisors is an integer number (6907158360).

Almost surely, 2225232065040 is an apocalyptic number.

225232065040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225232065040 is an abundant number, since it is smaller than the sum of its proper divisors (327340603760).

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

225232065040 is a wasteful number, since it uses less digits than its factorization.

225232065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375504 (or 1375498 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 225232065040 its reverse (40560232522), we get a palindrome (265792297562).

The spelling of 225232065040 in words is "two hundred twenty-five billion, two hundred thirty-two million, sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 89 92 115 178 184 230 356 368 445 460 712 890 920 1424 1780 1840 2047 3560 4094 7120 8188 10235 16376 20470 32752 40940 81880 163760 1375379 2750758 5501516 6876895 11003032 13753790 22006064 27507580 31633717 55015160 63267434 110030320 122408731 126534868 158168585 244817462 253069736 316337170 489634924 506139472 612043655 632674340 979269848 1224087310 1265348680 1958539696 2448174620 2530697360 2815400813 4896349240 5630801626 9792698480 11261603252 14077004065 22523206504 28154008130 45046413008 56308016260 112616032520 225232065040