Search a number
-
+
24232122 = 2341011481
BaseRepresentation
bin101110001110…
…0000010111010
31200121010020000
41130130002322
522200411442
62223213430
7412653405
oct134340272
950533200
1024232122
1112750a52
128147276
135035845
14330ad3c
1521d9d4c
hex171c0ba

24232122 has 40 divisors (see below), whose sum is σ = 54872532. Its totient is φ = 7992000.

The previous prime is 24232121. The next prime is 24232127. The reversal of 24232122 is 22123242.

It can be written as a sum of positive squares in 2 ways, for example, as 22667121 + 1565001 = 4761^2 + 1251^2 .

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 = 24232095 and 24232104.

It is not an unprimeable number, because it can be changed into a prime (24232121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15622 + ... + 17102.

Almost surely, 224232122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24232122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27436266).

24232122 is an abundant number, since it is smaller than the sum of its proper divisors (30640410).

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

24232122 is a wasteful number, since it uses less digits than its factorization.

24232122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1587 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 24232122 is about 4922.6133303358. The cubic root of 24232122 is about 289.3768705087.

Adding to 24232122 its reverse (22123242), we get a palindrome (46355364).

The spelling of 24232122 in words is "twenty-four million, two hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1481 1818 2727 2962 4443 5454 8181 8886 13329 16362 26658 39987 79974 119961 149581 239922 299162 448743 897486 1346229 2692458 4038687 8077374 12116061 24232122