Search a number
-
+
23121152 = 28372441
BaseRepresentation
bin101100000110…
…0110100000000
31121111200020222
41120030310000
521404334102
62143322212
7400345415
oct130146400
947450228
1023121152
111206229a
1278b0368
134a36c72
1430dc10c
15206aaa2
hex160cd00

23121152 has 36 divisors (see below), whose sum is σ = 47418756. Its totient is φ = 11243520.

The previous prime is 23121127. The next prime is 23121181. The reversal of 23121152 is 25112132.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11397376 + 11723776 = 3376^2 + 3424^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23121152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8252 + ... + 10692.

Almost surely, 223121152 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 23121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23709378).

23121152 is an abundant number, since it is smaller than the sum of its proper divisors (24297604).

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

23121152 is an equidigital number, since it uses as much as digits as its factorization.

23121152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2480 counting only the distinct ones).

The product of its digits is 120, while the sum is 17.

The square root of 23121152 is about 4808.4459027840. The cubic root of 23121152 is about 284.8851573820.

Adding to 23121152 its reverse (25112132), we get a palindrome (48233284).

It can be divided in two parts, 2312 and 1152, that multiplied together give a square (2663424 = 16322).

The spelling of 23121152 in words is "twenty-three million, one hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 2441 4736 4882 9472 9764 19528 39056 78112 90317 156224 180634 312448 361268 624896 722536 1445072 2890144 5780288 11560576 23121152