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214118064 = 24326722193
BaseRepresentation
bin11001100001100…
…10111010110000
3112220220022202200
430300302322300
5414303234224
633125143200
75206654626
oct1460627260
9486808680
10214118064
11aa956086
125b85ab00
133548b3a4
1420619516
1513be75c9
hexcc32eb0

214118064 has 60 divisors (see below), whose sum is σ = 608204376. Its totient is φ = 70304256.

The previous prime is 214118033. The next prime is 214118089. The reversal of 214118064 is 460811412.

It is a happy number.

It is a super-2 number, since 2×2141180642 = 91693090662216192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1449 + ... + 20744.

Almost surely, 2214118064 is an apocalyptic number.

214118064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214118064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304102188).

214118064 is an abundant number, since it is smaller than the sum of its proper divisors (394086312).

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

214118064 is a wasteful number, since it uses less digits than its factorization.

214118064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22274 (or 22265 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 214118064 is about 14632.7736263499. The cubic root of 214118064 is about 598.2523813238.

Adding to 214118064 its reverse (460811412), we get a palindrome (674929476).

The spelling of 214118064 in words is "two hundred fourteen million, one hundred eighteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 22193 44386 66579 88772 133158 177544 199737 266316 355088 399474 532632 798948 1065264 1486931 1597896 2973862 3195792 4460793 5947724 8921586 11895448 13382379 17843172 23790896 26764758 35686344 53529516 71372688 107059032 214118064