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214006030 = 257217231117
BaseRepresentation
bin11001100000101…
…11100100001110
3112220200122002021
430300113210032
5414241143110
633122520354
75206010200
oct1460274416
9486618067
10214006030
11aa889997
125b8060ba
133544c3b4
14205ca770
1513bc42da
hexcc1790e

214006030 has 96 divisors (see below), whose sum is σ = 495533376. Its totient is φ = 65995776.

The previous prime is 214006027. The next prime is 214006031. The reversal of 214006030 is 30600412.

It is a junction number, because it is equal to n+sod(n) for n = 214005995 and 214006013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214006031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191032 + ... + 192148.

It is an arithmetic number, because the mean of its divisors is an integer number (5161806).

Almost surely, 2214006030 is an apocalyptic number.

214006030 is an abundant number, since it is smaller than the sum of its proper divisors (281527346).

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

214006030 is a wasteful number, since it uses less digits than its factorization.

214006030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 214006030 is about 14628.9449380330. The cubic root of 214006030 is about 598.1480209858.

Adding to 214006030 its reverse (30600412), we get a palindrome (244606442).

The spelling of 214006030 in words is "two hundred fourteen million, six thousand, thirty".

Divisors: 1 2 5 7 10 14 17 23 34 35 46 49 70 85 98 115 119 161 170 230 238 245 322 391 490 595 782 805 833 1117 1127 1190 1610 1666 1955 2234 2254 2737 3910 4165 5474 5585 5635 7819 8330 11170 11270 13685 15638 18989 19159 25691 27370 37978 38318 39095 51382 54733 78190 94945 95795 109466 128455 132923 179837 189890 191590 256910 265846 273665 359674 436747 547330 664615 873494 899185 930461 1258859 1329230 1798370 1860922 2183735 2517718 3057229 4367470 4652305 6114458 6294295 9304610 12588590 15286145 21400603 30572290 42801206 107003015 214006030