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214033014 = 232131974643
BaseRepresentation
bin11001100000111…
…10001001110110
3112220202000002200
430300132021312
5414243024024
633123245330
75206151646
oct1460361166
9486660080
10214033014
11aa8a8198
125b819846
133545b770
14205d6526
1513bcc2c9
hexcc1e276

214033014 has 48 divisors (see below), whose sum is σ = 502053552. Its totient is φ = 65507904.

The previous prime is 214033003. The next prime is 214033031. The reversal of 214033014 is 410330412.

214033014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43777 + ... + 48419.

It is an arithmetic number, because the mean of its divisors is an integer number (10459449).

Almost surely, 2214033014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214033014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251026776).

214033014 is an abundant number, since it is smaller than the sum of its proper divisors (288020538).

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

214033014 is a wasteful number, since it uses less digits than its factorization.

214033014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 214033014 is about 14629.8671901012. The cubic root of 214033014 is about 598.1731600716.

Adding to 214033014 its reverse (410330412), we get a palindrome (624363426).

The spelling of 214033014 in words is "two hundred fourteen million, thirty-three thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 197 234 394 591 1182 1773 2561 3546 4643 5122 7683 9286 13929 15366 23049 27858 41787 46098 60359 83574 120718 181077 362154 543231 914671 1086462 1829342 2744013 5488026 8232039 11890723 16464078 23781446 35672169 71344338 107016507 214033014