Search a number
-
+
21814368 = 253227233
BaseRepresentation
bin101001100110…
…1110001100000
31112001021200120
41103031301200
521041024433
62055320240
7353263512
oct123156140
945037616
1021814368
111134a504
127380080
13469a214
142c7bbb2
151dad7b3
hex14cdc60

21814368 has 24 divisors (see below), whose sum is σ = 57262968. Its totient is φ = 7271424.

The previous prime is 21814367. The next prime is 21814369. The reversal of 21814368 is 86341812.

It is an interprime number because it is at equal distance from previous prime (21814367) and next prime (21814369).

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21814363) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 113521 + ... + 113712.

It is an arithmetic number, because the mean of its divisors is an integer number (2385957).

Almost surely, 221814368 is an apocalyptic number.

It is an amenable number.

21814368 is an abundant number, since it is smaller than the sum of its proper divisors (35448600).

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

21814368 is a wasteful number, since it uses less digits than its factorization.

21814368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227246 (or 227238 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 21814368 is about 4670.5854022810. The cubic root of 21814368 is about 279.4136027115.

The spelling of 21814368 in words is "twenty-one million, eight hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227233 454466 681699 908932 1363398 1817864 2726796 3635728 5453592 7271456 10907184 21814368