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214009026 = 23711835581
BaseRepresentation
bin11001100000110…
…00010011000010
3112220200210012020
430300120103002
5414241242101
633122542310
75206022010
oct1460302302
9486623166
10214009026
11aa891170
125b807996
133545087a
14205cb8b0
1513bc5136
hexcc184c2

214009026 has 64 divisors (see below), whose sum is σ = 540158976. Its totient is φ = 54907200.

The previous prime is 214009013. The next prime is 214009031. The reversal of 214009026 is 620900412.

It is a junction number, because it is equal to n+sod(n) for n = 214008987 and 214009005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35556 + ... + 41136.

It is an arithmetic number, because the mean of its divisors is an integer number (8439984).

Almost surely, 2214009026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214009026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270079488).

214009026 is an abundant number, since it is smaller than the sum of its proper divisors (326149950).

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

214009026 is a wasteful number, since it uses less digits than its factorization.

214009026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 214009026 is about 14629.0473374038. The cubic root of 214009026 is about 598.1508122516.

Adding to 214009026 its reverse (620900412), we get a palindrome (834909438).

The spelling of 214009026 in words is "two hundred fourteen million, nine thousand, twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 83 154 166 231 249 462 498 581 913 1162 1743 1826 2739 3486 5478 5581 6391 11162 12782 16743 19173 33486 38346 39067 61391 78134 117201 122782 184173 234402 368346 429737 463223 859474 926446 1289211 1389669 2578422 2779338 3242561 5095453 6485122 9727683 10190906 15286359 19455366 30572718 35668171 71336342 107004513 214009026