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214086930 = 235312111091
BaseRepresentation
bin11001100001010…
…11010100010010
3112220211202001120
430300223110102
5414301240210
633124343110
75206465101
oct1460532422
9486752046
10214086930
11aa934752
125b844a96
133547a175
142060c038
1513bdd270
hexcc2b512

214086930 has 64 divisors (see below), whose sum is σ = 533385216. Its totient is φ = 54936000.

The previous prime is 214086907. The next prime is 214086937. The reversal of 214086930 is 39680412.

It is a junction number, because it is equal to n+sod(n) for n = 214086891 and 214086900.

It is not an unprimeable number, because it can be changed into a prime (214086937) 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, 195685 + ... + 196775.

It is an arithmetic number, because the mean of its divisors is an integer number (8334144).

Almost surely, 2214086930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214086930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266692608).

214086930 is an abundant number, since it is smaller than the sum of its proper divisors (319298286).

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

214086930 is a wasteful number, since it uses less digits than its factorization.

214086930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 214086930 is about 14631.7097428838. The cubic root of 214086930 is about 598.2233834707.

The spelling of 214086930 in words is "two hundred fourteen million, eighty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 211 310 422 465 633 930 1055 1091 1266 2110 2182 3165 3273 5455 6330 6541 6546 10910 13082 16365 19623 32705 32730 33821 39246 65410 67642 98115 101463 169105 196230 202926 230201 338210 460402 507315 690603 1014630 1151005 1381206 2302010 3453015 6906030 7136231 14272462 21408693 35681155 42817386 71362310 107043465 214086930