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214302330 = 2325111911393
BaseRepresentation
bin11001100010111…
…11111001111010
3112221020200112100
430301133321322
5414330133310
633133124230
75211353064
oct1461377172
9487220470
10214302330
11aaa71570
125b929676
1335524218
1420666734
1513c31ec0
hexcc5fe7a

214302330 has 96 divisors (see below), whose sum is σ = 639887040. Its totient is φ = 49213440.

The previous prime is 214302307. The next prime is 214302359. The reversal of 214302330 is 33203412.

214302330 is a `hidden beast` number, since 2 + 1 + 430 + 233 + 0 = 666.

214302330 is digitally balanced in base 3, 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13114 + ... + 24506.

It is an arithmetic number, because the mean of its divisors is an integer number (6665490).

Almost surely, 2214302330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214302330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319943520).

214302330 is an abundant number, since it is smaller than the sum of its proper divisors (425584710).

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

214302330 is a wasteful number, since it uses less digits than its factorization.

214302330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11436 (or 11433 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 214302330 is about 14639.0686179142. The cubic root of 214302330 is about 598.4239470534.

Adding to 214302330 its reverse (33203412), we get a palindrome (247505742).

The spelling of 214302330 in words is "two hundred fourteen million, three hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 418 495 570 627 855 990 1045 1254 1710 1881 2090 3135 3762 6270 9405 11393 18810 22786 34179 56965 68358 102537 113930 125323 170895 205074 216467 250646 341790 375969 432934 512685 626615 649401 751938 1025370 1082335 1127907 1253230 1298802 1879845 1948203 2164670 2255814 2381137 3247005 3759690 3896406 4762274 5639535 6494010 7143411 9741015 11279070 11905685 14286822 19482030 21430233 23811370 35717055 42860466 71434110 107151165 214302330