Search a number
-
+
214000902 = 23211888939
BaseRepresentation
bin11001100000101…
…10010100000110
3112220200101001100
430300112110012
5414241012102
633122440530
75205656223
oct1460262406
9486611040
10214000902
11aa886055
125b803146
1335449c6b
14205c894a
1513bc2a1c
hexcc16506

214000902 has 12 divisors (see below), whose sum is σ = 463668660. Its totient is φ = 71333628.

The previous prime is 214000883. The next prime is 214000939. The reversal of 214000902 is 209000412.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11888939 = 214000902 / (2 + 1 + 4 + 0 + 0 + 0 + 9 + 0 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5944452 + ... + 5944487.

It is an arithmetic number, because the mean of its divisors is an integer number (38639055).

Almost surely, 2214000902 is an apocalyptic number.

214000902 is an abundant number, since it is smaller than the sum of its proper divisors (249667758).

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

214000902 is a wasteful number, since it uses less digits than its factorization.

214000902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11888947 (or 11888944 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 214000902 is about 14628.7696680206. The cubic root of 214000902 is about 598.1432433517.

The spelling of 214000902 in words is "two hundred fourteen million, nine hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 11888939 23777878 35666817 71333634 107000451 214000902