Search a number
-
+
214902 = 23211939
BaseRepresentation
bin110100011101110110
3101220210100
4310131312
523334102
64334530
71553352
oct643566
9356710
10214902
11137506
12a4446
1376a7c
1458462
1543a1c
hex34776

214902 has 12 divisors (see below), whose sum is σ = 465660. Its totient is φ = 71628.

The previous prime is 214891. The next prime is 214913. The reversal of 214902 is 209412.

It is an interprime number because it is at equal distance from previous prime (214891) and next prime (214913).

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: 11939 = 214902 / (2 + 1 + 4 + 9 + 0 + 2).

It is a congruent number.

It is an unprimeable number.

214902 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 5952 + ... + 5987.

It is an arithmetic number, because the mean of its divisors is an integer number (38805).

2214902 is an apocalyptic number.

214902 is an abundant number, since it is smaller than the sum of its proper divisors (250758).

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

214902 is a wasteful number, since it uses less digits than its factorization.

214902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11947 (or 11944 counting only the distinct ones).

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

The square root of 214902 is about 463.5752366121. The cubic root of 214902 is about 59.8981605767.

The spelling of 214902 in words is "two hundred fourteen thousand, nine hundred two".

Divisors: 1 2 3 6 9 18 11939 23878 35817 71634 107451 214902