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214033210223140 = 225711470932951237
BaseRepresentation
bin110000101010100101111101…
…011101110010101000100100
31001001211101010102110010222101
4300222211331131302220210
5211023210003304120030
62035113255510541444
763040250322143230
oct6052457535625044
91031741112403871
10214033210223140
1162219a7a378140
12200090a1067884
1392573256b5a29
143abd3969c75c0
1519b27658337ca
hexc2a97d772a24

214033210223140 has 96 divisors (see below), whose sum is σ = 560389948763904. Its totient is φ = 66710210741760.

The previous prime is 214033210223099. The next prime is 214033210223141. The reversal of 214033210223140 is 41322012330412.

214033210223140 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 214033210223099 and 214033210223108.

It is not an unprimeable number, because it can be changed into a prime (214033210223141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71047602 + ... + 73998838.

It is an arithmetic number, because the mean of its divisors is an integer number (5837395299624).

Almost surely, 2214033210223140 is an apocalyptic number.

214033210223140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214033210223140 is an abundant number, since it is smaller than the sum of its proper divisors (346356738540764).

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

214033210223140 is a wasteful number, since it uses less digits than its factorization.

214033210223140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998357 (or 2998355 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 214033210223140 its reverse (41322012330412), we get a palindrome (255355222553552).

The spelling of 214033210223140 in words is "two hundred fourteen trillion, thirty-three billion, two hundred ten million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 47093 94186 188372 235465 329651 470930 518023 659302 941860 1036046 1318604 1648255 2072092 2590115 2951237 3296510 3626161 5180230 5902474 6593020 7252322 10360460 11804948 14504644 14756185 18130805 20658659 29512370 32463607 36261610 41317318 59024740 64927214 72523220 82634636 103293295 129854428 162318035 206586590 227245249 324636070 413173180 454490498 649272140 908980996 1136226245 2272452490 4544904980 138982604041 277965208082 555930416164 694913020205 972878228287 1389826040410 1528808644451 1945756456574 2779652080820 3057617288902 3891512913148 4864391141435 6115234577804 7644043222255 9728782282870 10701660511157 15288086444510 19457564565740 21403321022314 30576172889020 42806642044628 53508302555785 107016605111570 214033210223140