Search a number
-
+
214066350 = 232521925037
BaseRepresentation
bin11001100001001…
…10010010101110
3112220210200211100
430300212102232
5414300110400
633124103530
75206351101
oct1460462256
9486720740
10214066350
11aa920243
125b834ba6
13354709a4
1420604738
1513bd7100
hexcc264ae

214066350 has 72 divisors (see below), whose sum is σ = 605418840. Its totient is φ = 54077760.

The previous prime is 214066339. The next prime is 214066357. The reversal of 214066350 is 53660412.

214066350 is a `hidden beast` number, since 21 + 4 + 0 + 6 + 635 + 0 = 666.

214066350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214066357) 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 35 ways as a sum of consecutive naturals, for example, 3969 + ... + 21068.

It is an arithmetic number, because the mean of its divisors is an integer number (8408595).

Almost surely, 2214066350 is an apocalyptic number.

214066350 is an abundant number, since it is smaller than the sum of its proper divisors (391352490).

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

214066350 is a wasteful number, since it uses less digits than its factorization.

214066350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25074 (or 25066 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 214066350 is about 14631.0064588872. The cubic root of 214066350 is about 598.2042139496.

The spelling of 214066350 in words is "two hundred fourteen million, sixty-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2850 4275 8550 25037 50074 75111 125185 150222 225333 250370 375555 450666 475703 625925 751110 951406 1126665 1251850 1427109 1877775 2253330 2378515 2854218 3755550 4281327 4757030 5633325 7135545 8562654 11266650 11892575 14271090 21406635 23785150 35677725 42813270 71355450 107033175 214066350