[go: up one dir, main page]

Search a number
-
+
214523204 = 227172771627
BaseRepresentation
bin11001100100101…
…01110101000100
3112221122220111212
430302111311010
5414404220304
633141550552
75213263040
oct1462256504
9487586455
10214523204
11100102505
125ba15458
13355a090c
14206c3020
1513c7766e
hexcc95d44

214523204 has 48 divisors (see below), whose sum is σ = 456204672. Its totient is φ = 86164992.

The previous prime is 214523189. The next prime is 214523207. The reversal of 214523204 is 402325412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 214523204.

It is not an unprimeable number, because it can be changed into a prime (214523207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131039 + ... + 132665.

It is an arithmetic number, because the mean of its divisors is an integer number (9504264).

Almost surely, 2214523204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214523204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228102336).

214523204 is an abundant number, since it is smaller than the sum of its proper divisors (241681468).

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

214523204 is a wasteful number, since it uses less digits than its factorization.

214523204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 214523204 is about 14646.6106659527. The cubic root of 214523204 is about 598.6294680837.

Adding to 214523204 its reverse (402325412), we get a palindrome (616848616).

The spelling of 214523204 in words is "two hundred fourteen million, five hundred twenty-three thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 277 476 554 1108 1627 1939 3254 3878 4709 6508 7756 9418 11389 18836 22778 27659 32963 45556 55318 65926 110636 131852 193613 387226 450679 774452 901358 1802716 3154753 6309506 7661543 12619012 15323086 30646172 53630801 107261602 214523204