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221142025240000 = 265419290976349
BaseRepresentation
bin110010010010000010100011…
…110110111111110111000000
31001222222222012222001201110021
4302102002203312333313000
5212441142331430140000
62102155124403543224
764402661352611524
oct6222024366776700
91058888188051407
10221142025240000
116450a8960a6187
122097698098ab14
1396517acb73ca7
143c8748c8a1d84
151a876290a911a
hexc920a3dbfdc0

221142025240000 has 140 divisors (see below), whose sum is σ = 577221424549000. Its totient is φ = 83801188224000.

The previous prime is 221142025239991. The next prime is 221142025240027. The reversal of 221142025240000 is 42520241122.

It is a happy number.

221142025240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144728175 + ... + 146248174.

It is an arithmetic number, because the mean of its divisors is an integer number (4123010175350).

Almost surely, 2221142025240000 is an apocalyptic number.

221142025240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221142025240000 is an abundant number, since it is smaller than the sum of its proper divisors (356079399309000).

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

221142025240000 is an equidigital number, since it uses as much as digits as its factorization.

221142025240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290976400 (or 290976375 counting only the distinct ones).

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

Adding to 221142025240000 its reverse (42520241122), we get a palindrome (221184545481122).

The spelling of 221142025240000 in words is "two hundred twenty-one trillion, one hundred forty-two billion, twenty-five million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 625 760 800 950 1000 1216 1250 1520 1600 1900 2000 2375 2500 3040 3800 4000 4750 5000 6080 7600 8000 9500 10000 11875 15200 19000 20000 23750 30400 38000 40000 47500 76000 95000 152000 190000 380000 760000 290976349 581952698 1163905396 1454881745 2327810792 2909763490 4655621584 5528550631 5819526980 7274408725 9311243168 11057101262 11639053960 14548817450 18622486336 22114202524 23278107920 27642753155 29097634900 36372043625 44228405048 46556215840 55285506310 58195269800 72744087250 88456810096 93112431680 110571012620 116390539600 138213765775 145488174500 176913620192 181860218125 221142025240 232781079200 276427531550 290976349000 353827240384 363720436250 442284050480 465562158400 552855063100 581952698000 691068828875 727440872500 884568100960 1105710126200 1163905396000 1382137657750 1454881745000 1769136201920 2211420252400 2327810792000 2764275315500 2909763490000 3455344144375 4422840504800 5528550631000 5819526980000 6910688288750 8845681009600 11057101262000 11639053960000 13821376577500 22114202524000 27642753155000 44228405048000 55285506310000 110571012620000 221142025240000