Search a number
-
+
21910168 = 2372317011
BaseRepresentation
bin101001110010…
…1001010011000
31112020011002201
41103211022120
521102111133
62101335544
7354143020
oct123451230
945204081
1021910168
1111405485
1274075b4
1347019c7
142ca4a80
151dcbd7d
hex14e5298

21910168 has 32 divisors (see below), whose sum is σ = 48994560. Its totient is φ = 8981280.

The previous prime is 21910159. The next prime is 21910169. The reversal of 21910168 is 86101912.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21910169) 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 7 ways as a sum of consecutive naturals, for example, 7218 + ... + 9793.

It is an arithmetic number, because the mean of its divisors is an integer number (1531080).

Almost surely, 221910168 is an apocalyptic number.

21910168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21910168 is an abundant number, since it is smaller than the sum of its proper divisors (27084392).

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

21910168 is a wasteful number, since it uses less digits than its factorization.

21910168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17047 (or 17043 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 21910168 is about 4680.8298409577. The cubic root of 21910168 is about 279.8220297618.

The spelling of 21910168 in words is "twenty-one million, nine hundred ten thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 17011 34022 68044 119077 136088 238154 391253 476308 782506 952616 1565012 2738771 3130024 5477542 10955084 21910168