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24430122 = 23217292753
BaseRepresentation
bin101110100110…
…0011000101010
31200222011211100
41131030120222
522223230442
62231342230
7414436563
oct135143052
950864740
1024430122
1112876792
128221976
1350a49c2
14335d16a
15222884c
hex174c62a

24430122 has 48 divisors (see below), whose sum is σ = 57999240. Its totient is φ = 7397376.

The previous prime is 24430097. The next prime is 24430127. The reversal of 24430122 is 22103442.

It can be written as a sum of positive squares in 4 ways, for example, as 24413481 + 16641 = 4941^2 + 129^2 .

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 = 24430095 and 24430104.

It is not an unprimeable number, because it can be changed into a prime (24430127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7498 + ... + 10250.

Almost surely, 224430122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24430122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28999620).

24430122 is an abundant number, since it is smaller than the sum of its proper divisors (33569118).

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

24430122 is a wasteful number, since it uses less digits than its factorization.

24430122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2804 counting only the distinct ones).

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

The square root of 24430122 is about 4942.6836839919. The cubic root of 24430122 is about 290.1628969871.

Adding to 24430122 its reverse (22103442), we get a palindrome (46533564).

The spelling of 24430122 in words is "twenty-four million, four hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2753 2958 4437 5506 8259 8874 16518 24777 46801 49554 79837 93602 140403 159674 239511 280806 421209 479022 718533 842418 1357229 1437066 2714458 4071687 8143374 12215061 24430122