[go: up one dir, main page]

Search a number
-
+
23213124 = 2232112732
BaseRepresentation
bin101100010001…
…1010001000100
31121200100102100
41120203101010
521420304444
62145312100
7401210514
oct130432104
947610370
1023213124
1112115400
127935630
134a69a9c
143123844
152087e69
hex1623444

23213124 has 81 divisors (see below), whose sum is σ = 65392509. Its totient is φ = 6937920.

The previous prime is 23213087. The next prime is 23213131. The reversal of 23213124 is 42131232.

The square root of 23213124 is 4818.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13176900 + 10036224 = 3630^2 + 3168^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23213097 and 23213106.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 317952 + ... + 318024.

Almost surely, 223213124 is an apocalyptic number.

23213124 is the 4818-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23213124

23213124 is an abundant number, since it is smaller than the sum of its proper divisors (42179385).

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

23213124 is a wasteful number, since it uses less digits than its factorization.

23213124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 89 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The cubic root of 23213124 is about 285.2623991478.

Adding to 23213124 its reverse (42131232), we get a palindrome (65344356).

It can be divided in two parts, 2321 and 3124, that added together give a palindrome (5445).

The spelling of 23213124 in words is "twenty-three million, two hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 121 132 146 198 219 242 292 363 396 438 484 657 726 803 876 1089 1314 1452 1606 2178 2409 2628 3212 4356 4818 5329 7227 8833 9636 10658 14454 15987 17666 21316 26499 28908 31974 35332 47961 52998 58619 63948 79497 95922 105996 117238 158994 175857 191844 234476 317988 351714 527571 644809 703428 1055142 1289618 1934427 2110284 2579236 3868854 5803281 7737708 11606562 23213124