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221400445012000 = 255361907378873
BaseRepresentation
bin110010010101110011001110…
…111000001100100000100000
31002000220200020200110022101221
4302111303032320030200200
5213004411102410341000
62102513543232304424
764430440264462522
oct6225631670144040
91060820220408357
10221400445012000
11645aa446347791
12209b8a810a2114
13966cc8441ac97
143c95ba560ba12
151a8e20118a61a
hexc95ccee0c820

221400445012000 has 96 divisors (see below), whose sum is σ = 552898613567664. Its totient is φ = 87108371712000.

The previous prime is 221400445011979. The next prime is 221400445012063. The reversal of 221400445012000 is 210544004122.

It can be written as a sum of positive squares in 8 ways, for example, as 26842470864784 + 194557974147216 = 5180972^2 + 13948404^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453445437 + ... + 453933436.

Almost surely, 2221400445012000 is an apocalyptic number.

221400445012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221400445012000 is an abundant number, since it is smaller than the sum of its proper divisors (331498168555664).

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

221400445012000 is an equidigital number, since it uses as much as digits as its factorization.

221400445012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907378959 (or 907378941 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 221400445012000 its reverse (210544004122), we get a palindrome (221610989016122).

The spelling of 221400445012000 in words is "two hundred twenty-one trillion, four hundred billion, four hundred forty-five million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 125 160 200 244 250 305 400 488 500 610 800 976 1000 1220 1525 1952 2000 2440 3050 4000 4880 6100 7625 9760 12200 15250 24400 30500 48800 61000 122000 244000 907378873 1814757746 3629515492 4536894365 7259030984 9073788730 14518061968 18147577460 22684471825 29036123936 36295154920 45368943650 55350111253 72590309840 90737887300 110700222506 113422359125 145180619680 181475774600 221400445012 226844718250 276750556265 362951549200 442800890024 453689436500 553501112530 725903098400 885601780048 907378873000 1107002225060 1383752781325 1771203560096 1814757746000 2214004450120 2767505562650 3629515492000 4428008900240 5535011125300 6918763906625 8856017800480 11070022250600 13837527813250 22140044501200 27675055626500 44280089002400 55350111253000 110700222506000 221400445012000