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23232222024 = 23311563156307
BaseRepresentation
bin10101101000101111…
…111001001101001000
32012222002112011022120
4111220233321031020
5340034422101044
614401151051240
71451500425504
oct255057711510
965862464276
1023232222024
119941a902a0
124604510b20
13226321894b
1411a569b304
1590e8d1519
hex568bf9348

23232222024 has 64 divisors (see below), whose sum is σ = 63473552640. Its totient is φ = 7027517760.

The previous prime is 23232221993. The next prime is 23232222029. The reversal of 23232222024 is 42022223232.

It is a super-2 number, since 2×232322220242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23232221985 and 23232222003.

It is not an unprimeable number, because it can be changed into a prime (23232222029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70479 + ... + 226785.

It is an arithmetic number, because the mean of its divisors is an integer number (991774260).

Almost surely, 223232222024 is an apocalyptic number.

23232222024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23232222024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31736776320).

23232222024 is an abundant number, since it is smaller than the sum of its proper divisors (40241330616).

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

23232222024 is a wasteful number, since it uses less digits than its factorization.

23232222024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156890 (or 156886 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 23232222024 its reverse (42022223232), we get a palindrome (65254445256).

It can be divided in two parts, 2323222 and 2024, that added together give a triangular number (2325246 = T2156).

The spelling of 23232222024 in words is "twenty-three billion, two hundred thirty-two million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 563 1126 1689 2252 3378 4504 6193 6756 12386 13512 18579 24772 37158 49544 74316 148632 156307 312614 468921 625228 937842 1250456 1719377 1875684 3438754 3751368 5158131 6877508 10316262 13755016 20632524 41265048 88000841 176001682 264002523 352003364 528005046 704006728 968009251 1056010092 1936018502 2112020184 2904027753 3872037004 5808055506 7744074008 11616111012 23232222024