Search a number
-
+
23219320 = 2351992917
BaseRepresentation
bin101100010010…
…0110001111000
31121200122220211
41120210301320
521421004240
62145400504
7401234545
oct130446170
947618824
1023219320
111211a023
127939134
134a6c857
143125bcc
152089bea
hex1624c78

23219320 has 32 divisors (see below), whose sum is σ = 52524000. Its totient is φ = 9237888.

The previous prime is 23219293. The next prime is 23219323. The reversal of 23219320 is 2391232.

It is a junction number, because it is equal to n+sod(n) for n = 23219291 and 23219300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23219323) 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, 6502 + ... + 9418.

It is an arithmetic number, because the mean of its divisors is an integer number (1641375).

Almost surely, 223219320 is an apocalyptic number.

23219320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23219320 is an abundant number, since it is smaller than the sum of its proper divisors (29304680).

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

23219320 is a wasteful number, since it uses less digits than its factorization.

23219320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 23219320 is about 4818.6429624947. The cubic root of 23219320 is about 285.2877774438.

The spelling of 23219320 in words is "twenty-three million, two hundred nineteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 199 398 796 995 1592 1990 2917 3980 5834 7960 11668 14585 23336 29170 58340 116680 580483 1160966 2321932 2902415 4643864 5804830 11609660 23219320