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214010412 = 223711231613
BaseRepresentation
bin11001100000110…
…00101000101100
3112220200212002120
430300120220230
5414241313122
633122552540
75206026030
oct1460305054
9486625076
10214010412
11aa892210
125b808750
13354513a5
14205cc1c0
1513bc575c
hexcc18a2c

214010412 has 48 divisors (see below), whose sum is σ = 622578432. Its totient is φ = 55586880.

The previous prime is 214010383. The next prime is 214010429.

214010412 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 214010391 and 214010400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114883 + ... + 116730.

It is an arithmetic number, because the mean of its divisors is an integer number (12970384).

Almost surely, 2214010412 is an apocalyptic number.

214010412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214010412 is an abundant number, since it is smaller than the sum of its proper divisors (408568020).

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

214010412 is a wasteful number, since it uses less digits than its factorization.

214010412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231638 (or 231636 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 214010412 is about 14629.0947088328. The cubic root of 214010412 is about 598.1521035293.

The spelling of 214010412 in words is "two hundred fourteen million, ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 231613 463226 694839 926452 1389678 1621291 2547743 2779356 3242582 4863873 5095486 6485164 7643229 9727746 10190972 15286458 17834201 19455492 30572916 35668402 53502603 71336804 107005206 214010412