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214462270000 = 2454111949657
BaseRepresentation
bin1100011110111011110…
…0101000101000110000
3202111120020121010022001
43013232330220220300
512003204320120000
6242304514423344
721331401134326
oct3075674505060
9674506533261
10214462270000
1182a533a6760
1235692b91b54
13172ba6328a4
14a546b2bd16
1558a2e6b46a
hex31eef28a30

214462270000 has 100 divisors (see below), whose sum is σ = 566438038056. Its totient is φ = 77986240000.

The previous prime is 214462269953. The next prime is 214462270049. The reversal of 214462270000 is 72264412.

It is a happy number.

214462270000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 864829 + ... + 1084828.

Almost surely, 2214462270000 is an apocalyptic number.

214462270000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214462270000 is an abundant number, since it is smaller than the sum of its proper divisors (351975768056).

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

214462270000 is a wasteful number, since it uses less digits than its factorization.

214462270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949696 (or 1949675 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 214462270000 in words is "two hundred fourteen billion, four hundred sixty-two million, two hundred seventy thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 1949657 3899314 7798628 9748285 15597256 19496570 21446227 31194512 38993140 42892454 48741425 77986280 85784908 97482850 107231135 155972560 171569816 194965700 214462270 243707125 343139632 389931400 428924540 487414250 536155675 779862800 857849080 974828500 1072311350 1218535625 1715698160 1949657000 2144622700 2437071250 2680778375 3899314000 4289245400 4874142500 5361556750 8578490800 9748285000 10723113500 13403891875 19496570000 21446227000 26807783750 42892454000 53615567500 107231135000 214462270000