Search a number
-
+
22320930 = 2353124001
BaseRepresentation
bin101010100100…
…1011100100010
31120000000120010
41111021130202
521203232210
62114225350
7360503412
oct125113442
946000503
1022320930
1111666055
127585256
134816968
142d70642
151e5d920
hex1549722

22320930 has 32 divisors (see below), whose sum is σ = 55300608. Its totient is φ = 5760000.

The previous prime is 22320929. The next prime is 22320931. The reversal of 22320930 is 3902322.

It is an interprime number because it is at equal distance from previous prime (22320929) and next prime (22320931).

It is a super-3 number, since 3×223209303 (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 22320897 and 22320906.

It is not an unprimeable number, because it can be changed into a prime (22320931) 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 15 ways as a sum of consecutive naturals, for example, 11071 + ... + 12930.

It is an arithmetic number, because the mean of its divisors is an integer number (1728144).

Almost surely, 222320930 is an apocalyptic number.

22320930 is an abundant number, since it is smaller than the sum of its proper divisors (32979678).

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

22320930 is a wasteful number, since it uses less digits than its factorization.

22320930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24042.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 22320930 is about 4724.5031484803. The cubic root of 22320930 is about 281.5598737726.

The spelling of 22320930 in words is "twenty-two million, three hundred twenty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 24001 48002 72003 120005 144006 240010 360015 720030 744031 1488062 2232093 3720155 4464186 7440310 11160465 22320930