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214738074 = 23323414217
BaseRepresentation
bin11001100110010…
…10010010011010
3112222001211021000
430303022102122
5414433104244
633150325430
75215146345
oct1463122232
9488054230
10214738074
11100239991
125bab9876
1335647665
142073b45c
1513cbb169
hexccca49a

214738074 has 64 divisors (see below), whose sum is σ = 510209280. Its totient is φ = 66781440.

The previous prime is 214738063. The next prime is 214738079. The reversal of 214738074 is 470837412.

It is a happy number.

214738074 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2147380742 = 92224880850458952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214738079) 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 31 ways as a sum of consecutive naturals, for example, 48814 + ... + 53030.

It is an arithmetic number, because the mean of its divisors is an integer number (7972020).

Almost surely, 2214738074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214738074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255104640).

214738074 is an abundant number, since it is smaller than the sum of its proper divisors (295471206).

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

214738074 is a wasteful number, since it uses less digits than its factorization.

214738074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 214738074 is about 14653.9439742344. The cubic root of 214738074 is about 598.8292671267.

The spelling of 214738074 in words is "two hundred fourteen million, seven hundred thirty-eight thousand, seventy-four".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 82 123 138 207 246 369 414 621 738 943 1107 1242 1886 2214 2829 4217 5658 8434 8487 12651 16974 25302 25461 37953 50922 75906 96991 113859 172897 193982 227718 290973 345794 518691 581946 872919 1037382 1556073 1745838 2618757 3112146 3976631 4668219 5237514 7953262 9336438 11929893 23859786 35789679 71579358 107369037 214738074