[go: up one dir, main page]

Search a number
-
+
217422 = 23247257
BaseRepresentation
bin110101000101001110
3102001020200
4311011032
523424142
64354330
71563612
oct650516
9361220
10217422
11139397
12a59a6
1377c6a
1459342
154464c
hex3514e

217422 has 24 divisors (see below), whose sum is σ = 482976. Its totient is φ = 70656.

The previous prime is 217421. The next prime is 217429. The reversal of 217422 is 224712.

217422 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 junction number, because it is equal to n+sod(n) for n = 217395 and 217404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 718 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (20124).

2217422 is an apocalyptic number.

217422 is an abundant number, since it is smaller than the sum of its proper divisors (265554).

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

217422 is a wasteful number, since it uses less digits than its factorization.

217422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 309 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 217422 is about 466.2853203780. The cubic root of 217422 is about 60.1313787836.

It can be divided in two parts, 2 and 17422, that added together give a square (17424 = 1322).

The spelling of 217422 in words is "two hundred seventeen thousand, four hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 47 94 141 257 282 423 514 771 846 1542 2313 4626 12079 24158 36237 72474 108711 217422