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225045320223000 = 23353311241206131
BaseRepresentation
bin110011001010110101110010…
…010111101100100100011000
31002111211010022022012120002010
4303022311302113230210120
5213444120303434114000
62114344220505505520
765254662553544604
oct6312656227544430
91074733268176063
10225045320223000
116578520338a1a2
12212a735a4a22a0
1398758b49a6874
143d80374612504
151b03e2a23ad50
hexccad725ec918

225045320223000 has 128 divisors (see below), whose sum is σ = 704399091402240. Its totient is φ = 59819120240000.

The previous prime is 225045320222953. The next prime is 225045320223067. The reversal of 225045320223000 is 322023540522.

225045320223000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2250453202230002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119670066 + ... + 121536065.

It is an arithmetic number, because the mean of its divisors is an integer number (5503117901580).

Almost surely, 2225045320223000 is an apocalyptic number.

225045320223000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225045320223000 is an abundant number, since it is smaller than the sum of its proper divisors (479353771179240).

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

225045320223000 is a wasteful number, since it uses less digits than its factorization.

225045320223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241206466 (or 241206452 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 225045320223000 its reverse (322023540522), we get a palindrome (225367343763522).

The spelling of 225045320223000 in words is "two hundred twenty-five trillion, forty-five billion, three hundred twenty million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 311 375 500 600 622 750 933 1000 1244 1500 1555 1866 2488 3000 3110 3732 4665 6220 7464 7775 9330 12440 15550 18660 23325 31100 37320 38875 46650 62200 77750 93300 116625 155500 186600 233250 311000 466500 933000 241206131 482412262 723618393 964824524 1206030655 1447236786 1929649048 2412061310 2894473572 3618091965 4824122620 5788947144 6030153275 7236183930 9648245240 12060306550 14472367860 18090459825 24120613100 28944735720 30150766375 36180919650 48241226200 60301532750 72361839300 75015106741 90452299125 120603065500 144723678600 150030213482 180904598250 225045320223 241206131000 300060426964 361809196500 375075533705 450090640446 600120853928 723618393000 750151067410 900181280892 1125226601115 1500302134820 1800362561784 1875377668525 2250453202230 3000604269640 3750755337050 4500906404460 5626133005575 7501510674100 9001812808920 9376888342625 11252266011150 15003021348200 18753776685250 22504532022300 28130665027875 37507553370500 45009064044600 56261330055750 75015106741000 112522660111500 225045320223000