Search a number
-
+
214002150 = 23521678543
BaseRepresentation
bin11001100000101…
…10100111100110
3112220200102202120
430300112213212
5414241032100
633122450410
75205662655
oct1460264746
9486612676
10214002150
11aa886a8a
125b803a06
133544a6bb
14205c919c
1513bc30a0
hexcc169e6

214002150 has 48 divisors (see below), whose sum is σ = 533965824. Its totient is φ = 56718880.

The previous prime is 214002121. The next prime is 214002157. The reversal of 214002150 is 51200412.

214002150 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214002157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20779 + ... + 29321.

It is an arithmetic number, because the mean of its divisors is an integer number (11124288).

Almost surely, 2214002150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214002150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266982912).

214002150 is an abundant number, since it is smaller than the sum of its proper divisors (319963674).

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

214002150 is a wasteful number, since it uses less digits than its factorization.

214002150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 214002150 is about 14628.8123236304. The cubic root of 214002150 is about 598.1444060903.

Adding to 214002150 its reverse (51200412), we get a palindrome (265202562).

The spelling of 214002150 in words is "two hundred fourteen million, two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 167 334 501 835 1002 1670 2505 4175 5010 8350 8543 12525 17086 25050 25629 42715 51258 85430 128145 213575 256290 427150 640725 1281450 1426681 2853362 4280043 7133405 8560086 14266810 21400215 35667025 42800430 71334050 107001075 214002150