Search a number
-
+
23220224 = 2125669
BaseRepresentation
bin101100010010…
…1000000000000
31121200201011022
41120211000000
521421021344
62145405012
7401240306
oct130450000
947621138
1023220224
111211a775
127939768
134a700a1
143126276
15208a0ee
hex1625000

23220224 has 26 divisors (see below), whose sum is σ = 46442970. Its totient is φ = 11608064.

The previous prime is 23220221. The next prime is 23220229. The reversal of 23220224 is 42202232.

It can be written as a sum of positive squares in only one way, i.e., 17305600 + 5914624 = 4160^2 + 2432^2 .

It is a super-2 number, since 2×232202242 = 1078357605220352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23220221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1262 + ... + 6930.

Almost surely, 223220224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23221485).

23220224 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

23220224 is an frugal number, since it uses more digits than its factorization.

23220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5693 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 23220224 is about 4818.7367639248. The cubic root of 23220224 is about 285.2914797745.

Adding to 23220224 its reverse (42202232), we get a palindrome (65422456).

The spelling of 23220224 in words is "twenty-three million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 5669 11338 22676 45352 90704 181408 362816 725632 1451264 2902528 5805056 11610112 23220224