Search a number
-
+
214059000 = 2335371353
BaseRepresentation
bin11001100001001…
…00011111111000
3112220210022202010
430300210133320
5414244342000
633124005520
75206320501
oct1460443770
9486708663
10214059000
11aa915771
125b8308a0
133546a53c
1420601ba8
1513bd4d50
hexcc247f8

214059000 has 64 divisors (see below), whose sum is σ = 667873440. Its totient is φ = 57081600.

The previous prime is 214058969. The next prime is 214059007. The reversal of 214059000 is 950412.

214059000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214059007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32677 + ... + 38676.

Almost surely, 2214059000 is an apocalyptic number.

214059000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214059000 is an abundant number, since it is smaller than the sum of its proper divisors (453814440).

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

214059000 is a wasteful number, since it uses less digits than its factorization.

214059000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71377 (or 71363 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 214059000 is about 14630.7552778385. The cubic root of 214059000 is about 598.1973673943.

The spelling of 214059000 in words is "two hundred fourteen million, fifty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 71353 142706 214059 285412 356765 428118 570824 713530 856236 1070295 1427060 1712472 1783825 2140590 2854120 3567650 4281180 5351475 7135300 8562360 8919125 10702950 14270600 17838250 21405900 26757375 35676500 42811800 53514750 71353000 107029500 214059000