Search a number
-
+
20221768 = 2371931871
BaseRepresentation
bin100110100100…
…0111101001000
31102001101001101
41031020331020
520134044033
62001231144
7333611410
oct115107510
942041041
1020221768
1110461a06
1269324b4
134260358
142985640
151b9697d
hex1348f48

20221768 has 32 divisors (see below), whose sum is σ = 43580160. Its totient is φ = 8616960.

The previous prime is 20221763. The next prime is 20221781. The reversal of 20221768 is 86712202.

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

It is not an unprimeable number, because it can be changed into a prime (20221763) 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, 9873 + ... + 11743.

It is an arithmetic number, because the mean of its divisors is an integer number (1361880).

Almost surely, 220221768 is an apocalyptic number.

20221768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20221768 is an abundant number, since it is smaller than the sum of its proper divisors (23358392).

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

20221768 is a wasteful number, since it uses less digits than its factorization.

20221768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 20221768 is about 4496.8620170070. The cubic root of 20221768 is about 272.4413610042.

The spelling of 20221768 in words is "twenty million, two hundred twenty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 193 386 772 1351 1544 1871 2702 3742 5404 7484 10808 13097 14968 26194 52388 104776 361103 722206 1444412 2527721 2888824 5055442 10110884 20221768