Search a number
-
+
23218020 = 22325718427
BaseRepresentation
bin101100010010…
…0011101100100
31121200121010200
41120210131210
521420434040
62145350500
7401231010
oct130443544
947617120
1023218020
1112119051
127938430
134a6c097
143125540
152089630
hex1624764

23218020 has 72 divisors (see below), whose sum is σ = 80493504. Its totient is φ = 5306688.

The previous prime is 23218001. The next prime is 23218043. The reversal of 23218020 is 2081232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23217984 and 23218002.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7954 + ... + 10473.

Almost surely, 223218020 is an apocalyptic number.

23218020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23218020 is an abundant number, since it is smaller than the sum of its proper divisors (57275484).

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

23218020 is a wasteful number, since it uses less digits than its factorization.

23218020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18449 (or 18444 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 23218020 is about 4818.5080678567. The cubic root of 23218020 is about 285.2824531272.

Adding to 23218020 its reverse (2081232), we get a palindrome (25299252).

The spelling of 23218020 in words is "twenty-three million, two hundred eighteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 18427 36854 55281 73708 92135 110562 128989 165843 184270 221124 257978 276405 331686 368540 386967 515956 552810 644945 663372 773934 829215 1105620 1160901 1289890 1547868 1658430 1934835 2321802 2579780 3316860 3869670 4643604 5804505 7739340 11609010 23218020